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Finding the Fourth Proportional to 2,267.60, 3,402.05 and 1,875.78

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Solution

The fourth proportional to 2,267.60, 3,402.05 and 1,875.78 is: 2,814.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.60 : 3,402.05 = 1,875.78 : x
  2. Step 2: Convert to fraction form
    2,267.60/3,402.05 = 1,875.78/x
  3. Step 3: Cross multiply
    2,267.60x = 3,402.05 × 1,875.78
  4. Step 4: Simplify right side
    2,267.60x = 6,381,487.97
  5. Step 5: Solve for x
    x = 6,381,487.97/2,267.60
  6. Step 6: Final answer
    x = 2,814.21

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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.