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Finding the Fourth Proportional to 1,588.40, 2,381.22 and 765.54

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Solution

The fourth proportional to 1,588.40, 2,381.22 and 765.54 is: 1,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.40 : 2,381.22 = 765.54 : x
  2. Step 2: Convert to fraction form
    1,588.40/2,381.22 = 765.54/x
  3. Step 3: Cross multiply
    1,588.40x = 2,381.22 × 765.54
  4. Step 4: Simplify right side
    1,588.40x = 1,822,919.16
  5. Step 5: Solve for x
    x = 1,822,919.16/1,588.40
  6. Step 6: Final answer
    x = 1,147.65

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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.