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Finding the Fourth Proportional to 1,666.32, 2,496.64 and 934.08

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Solution

The fourth proportional to 1,666.32, 2,496.64 and 934.08 is: 1,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.32 : 2,496.64 = 934.08 : x
  2. Step 2: Convert to fraction form
    1,666.32/2,496.64 = 934.08/x
  3. Step 3: Cross multiply
    1,666.32x = 2,496.64 × 934.08
  4. Step 4: Simplify right side
    1,666.32x = 2,332,061.49
  5. Step 5: Solve for x
    x = 2,332,061.49/1,666.32
  6. Step 6: Final answer
    x = 1,399.53

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