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Finding the Fourth Proportional to 2,247.76, 3,369.40 and 1,562.32

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Solution

The fourth proportional to 2,247.76, 3,369.40 and 1,562.32 is: 2,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,247.76 : 3,369.40 = 1,562.32 : x
  2. Step 2: Convert to fraction form
    2,247.76/3,369.40 = 1,562.32/x
  3. Step 3: Cross multiply
    2,247.76x = 3,369.40 × 1,562.32
  4. Step 4: Simplify right side
    2,247.76x = 5,264,081.01
  5. Step 5: Solve for x
    x = 5,264,081.01/2,247.76
  6. Step 6: Final answer
    x = 2,341.92

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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.