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Finding the Fourth Proportional to 2,562.84, 3,531.87 and 2,353.32

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Solution

The fourth proportional to 2,562.84, 3,531.87 and 2,353.32 is: 3,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.84 : 3,531.87 = 2,353.32 : x
  2. Step 2: Convert to fraction form
    2,562.84/3,531.87 = 2,353.32/x
  3. Step 3: Cross multiply
    2,562.84x = 3,531.87 × 2,353.32
  4. Step 4: Simplify right side
    2,562.84x = 8,311,620.31
  5. Step 5: Solve for x
    x = 8,311,620.31/2,562.84
  6. Step 6: Final answer
    x = 3,243.13

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1.5x scale

Why These Related Problems?

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