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Finding the Fourth Proportional to 1,699.92, 2,547.38 and 967.94

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Solution

The fourth proportional to 1,699.92, 2,547.38 and 967.94 is: 1,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.92 : 2,547.38 = 967.94 : x
  2. Step 2: Convert to fraction form
    1,699.92/2,547.38 = 967.94/x
  3. Step 3: Cross multiply
    1,699.92x = 2,547.38 × 967.94
  4. Step 4: Simplify right side
    1,699.92x = 2,465,711.00
  5. Step 5: Solve for x
    x = 2,465,711.00/1,699.92
  6. Step 6: Final answer
    x = 1,450.49

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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.