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Finding the Fourth Proportional to 1,666.24, 2,509.15 and 1,452.40

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Solution

The fourth proportional to 1,666.24, 2,509.15 and 1,452.40 is: 2,187.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.24 : 2,509.15 = 1,452.40 : x
  2. Step 2: Convert to fraction form
    1,666.24/2,509.15 = 1,452.40/x
  3. Step 3: Cross multiply
    1,666.24x = 2,509.15 × 1,452.40
  4. Step 4: Simplify right side
    1,666.24x = 3,644,289.46
  5. Step 5: Solve for x
    x = 3,644,289.46/1,666.24
  6. Step 6: Final answer
    x = 2,187.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.