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Finding the Fourth Proportional to 1,648.59, 2,271.15 and 1,150.35

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Solution

The fourth proportional to 1,648.59, 2,271.15 and 1,150.35 is: 1,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.59 : 2,271.15 = 1,150.35 : x
  2. Step 2: Convert to fraction form
    1,648.59/2,271.15 = 1,150.35/x
  3. Step 3: Cross multiply
    1,648.59x = 2,271.15 × 1,150.35
  4. Step 4: Simplify right side
    1,648.59x = 2,612,617.40
  5. Step 5: Solve for x
    x = 2,612,617.40/1,648.59
  6. Step 6: Final answer
    x = 1,584.76

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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.