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Finding the Fourth Proportional to 1,652.59, 2,279.91 and 944.32

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Solution

The fourth proportional to 1,652.59, 2,279.91 and 944.32 is: 1,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.59 : 2,279.91 = 944.32 : x
  2. Step 2: Convert to fraction form
    1,652.59/2,279.91 = 944.32/x
  3. Step 3: Cross multiply
    1,652.59x = 2,279.91 × 944.32
  4. Step 4: Simplify right side
    1,652.59x = 2,152,965.95
  5. Step 5: Solve for x
    x = 2,152,965.95/1,652.59
  6. Step 6: Final answer
    x = 1,302.78

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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.