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Finding the Fourth Proportional to 2,562.53, 3,528.65 and 2,376.46

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Solution

The fourth proportional to 2,562.53, 3,528.65 and 2,376.46 is: 3,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.53 : 3,528.65 = 2,376.46 : x
  2. Step 2: Convert to fraction form
    2,562.53/3,528.65 = 2,376.46/x
  3. Step 3: Cross multiply
    2,562.53x = 3,528.65 × 2,376.46
  4. Step 4: Simplify right side
    2,562.53x = 8,385,705.93
  5. Step 5: Solve for x
    x = 8,385,705.93/2,562.53
  6. Step 6: Final answer
    x = 3,272.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.