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Finding the Fourth Proportional to 1,698.46, 2,547.88 and 1,524.06

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Solution

The fourth proportional to 1,698.46, 2,547.88 and 1,524.06 is: 2,286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.46 : 2,547.88 = 1,524.06 : x
  2. Step 2: Convert to fraction form
    1,698.46/2,547.88 = 1,524.06/x
  3. Step 3: Cross multiply
    1,698.46x = 2,547.88 × 1,524.06
  4. Step 4: Simplify right side
    1,698.46x = 3,883,114.34
  5. Step 5: Solve for x
    x = 3,883,114.34/1,698.46
  6. Step 6: Final answer
    x = 2,286.25

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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.