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Finding the Fourth Proportional to 2,292.64, 3,436.56 and 1,562.32

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Solution

The fourth proportional to 2,292.64, 3,436.56 and 1,562.32 is: 2,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.64 : 3,436.56 = 1,562.32 : x
  2. Step 2: Convert to fraction form
    2,292.64/3,436.56 = 1,562.32/x
  3. Step 3: Cross multiply
    2,292.64x = 3,436.56 × 1,562.32
  4. Step 4: Simplify right side
    2,292.64x = 5,369,006.42
  5. Step 5: Solve for x
    x = 5,369,006.42/2,292.64
  6. Step 6: Final answer
    x = 2,341.84

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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.