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Finding the Fourth Proportional to 1,666.37, 2,500.52 and 742.03

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Solution

The fourth proportional to 1,666.37, 2,500.52 and 742.03 is: 1,113.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.37 : 2,500.52 = 742.03 : x
  2. Step 2: Convert to fraction form
    1,666.37/2,500.52 = 742.03/x
  3. Step 3: Cross multiply
    1,666.37x = 2,500.52 × 742.03
  4. Step 4: Simplify right side
    1,666.37x = 1,855,460.86
  5. Step 5: Solve for x
    x = 1,855,460.86/1,666.37
  6. Step 6: Final answer
    x = 1,113.47

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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.