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Finding the Fourth Proportional to 1,591.06, 2,386.80 and 617.26

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Solution

The fourth proportional to 1,591.06, 2,386.80 and 617.26 is: 925.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.06 : 2,386.80 = 617.26 : x
  2. Step 2: Convert to fraction form
    1,591.06/2,386.80 = 617.26/x
  3. Step 3: Cross multiply
    1,591.06x = 2,386.80 × 617.26
  4. Step 4: Simplify right side
    1,591.06x = 1,473,276.17
  5. Step 5: Solve for x
    x = 1,473,276.17/1,591.06
  6. Step 6: Final answer
    x = 925.97

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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.