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Finding the Fourth Proportional to 2,460.72, 3,691.32 and 921.72

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Solution

The fourth proportional to 2,460.72, 3,691.32 and 921.72 is: 1,382.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.72 : 3,691.32 = 921.72 : x
  2. Step 2: Convert to fraction form
    2,460.72/3,691.32 = 921.72/x
  3. Step 3: Cross multiply
    2,460.72x = 3,691.32 × 921.72
  4. Step 4: Simplify right side
    2,460.72x = 3,402,363.47
  5. Step 5: Solve for x
    x = 3,402,363.47/2,460.72
  6. Step 6: Final answer
    x = 1,382.67

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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.