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Finding the Fourth Proportional to 1,515.90, 2,272.78 and 590.68

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Solution

The fourth proportional to 1,515.90, 2,272.78 and 590.68 is: 885.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.90 : 2,272.78 = 590.68 : x
  2. Step 2: Convert to fraction form
    1,515.90/2,272.78 = 590.68/x
  3. Step 3: Cross multiply
    1,515.90x = 2,272.78 × 590.68
  4. Step 4: Simplify right side
    1,515.90x = 1,342,485.69
  5. Step 5: Solve for x
    x = 1,342,485.69/1,515.90
  6. Step 6: Final answer
    x = 885.60

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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.