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Finding the Fourth Proportional to 2,386.72, 3,580.51 and 742.88

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Solution

The fourth proportional to 2,386.72, 3,580.51 and 742.88 is: 1,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.72 : 3,580.51 = 742.88 : x
  2. Step 2: Convert to fraction form
    2,386.72/3,580.51 = 742.88/x
  3. Step 3: Cross multiply
    2,386.72x = 3,580.51 × 742.88
  4. Step 4: Simplify right side
    2,386.72x = 2,659,889.27
  5. Step 5: Solve for x
    x = 2,659,889.27/2,386.72
  6. Step 6: Final answer
    x = 1,114.45

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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.