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Finding the Fourth Proportional to 1,588.92, 2,364.15 and 1,549.24

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Solution

The fourth proportional to 1,588.92, 2,364.15 and 1,549.24 is: 2,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.92 : 2,364.15 = 1,549.24 : x
  2. Step 2: Convert to fraction form
    1,588.92/2,364.15 = 1,549.24/x
  3. Step 3: Cross multiply
    1,588.92x = 2,364.15 × 1,549.24
  4. Step 4: Simplify right side
    1,588.92x = 3,662,635.75
  5. Step 5: Solve for x
    x = 3,662,635.75/1,588.92
  6. Step 6: Final answer
    x = 2,305.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.