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Finding the Fourth Proportional to 2,491.56, 3,737.34 and 1,030.32

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Solution

The fourth proportional to 2,491.56, 3,737.34 and 1,030.32 is: 1,545.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.56 : 3,737.34 = 1,030.32 : x
  2. Step 2: Convert to fraction form
    2,491.56/3,737.34 = 1,030.32/x
  3. Step 3: Cross multiply
    2,491.56x = 3,737.34 × 1,030.32
  4. Step 4: Simplify right side
    2,491.56x = 3,850,656.15
  5. Step 5: Solve for x
    x = 3,850,656.15/2,491.56
  6. Step 6: Final answer
    x = 1,545.48

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Why These Related Problems?

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