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Finding the Fourth Proportional to 1,698.21, 2,547.50 and 967.59

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Solution

The fourth proportional to 1,698.21, 2,547.50 and 967.59 is: 1,451.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.21 : 2,547.50 = 967.59 : x
  2. Step 2: Convert to fraction form
    1,698.21/2,547.50 = 967.59/x
  3. Step 3: Cross multiply
    1,698.21x = 2,547.50 × 967.59
  4. Step 4: Simplify right side
    1,698.21x = 2,464,930.69
  5. Step 5: Solve for x
    x = 2,464,930.69/1,698.21
  6. Step 6: Final answer
    x = 1,451.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.