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Finding the Fourth Proportional to 2,877.60, 4,315.59 and 902.82

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Solution

The fourth proportional to 2,877.60, 4,315.59 and 902.82 is: 1,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.60 : 4,315.59 = 902.82 : x
  2. Step 2: Convert to fraction form
    2,877.60/4,315.59 = 902.82/x
  3. Step 3: Cross multiply
    2,877.60x = 4,315.59 × 902.82
  4. Step 4: Simplify right side
    2,877.60x = 3,896,200.96
  5. Step 5: Solve for x
    x = 3,896,200.96/2,877.60
  6. Step 6: Final answer
    x = 1,353.98

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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.