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Finding the Fourth Proportional to 2,625.60, 3,937.56 and 870.27

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Solution

The fourth proportional to 2,625.60, 3,937.56 and 870.27 is: 1,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.60 : 3,937.56 = 870.27 : x
  2. Step 2: Convert to fraction form
    2,625.60/3,937.56 = 870.27/x
  3. Step 3: Cross multiply
    2,625.60x = 3,937.56 × 870.27
  4. Step 4: Simplify right side
    2,625.60x = 3,426,740.34
  5. Step 5: Solve for x
    x = 3,426,740.34/2,625.60
  6. Step 6: Final answer
    x = 1,305.13

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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.