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Finding the Fourth Proportional to 2,260.62, 3,390.66 and 617.31

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Solution

The fourth proportional to 2,260.62, 3,390.66 and 617.31 is: 925.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.62 : 3,390.66 = 617.31 : x
  2. Step 2: Convert to fraction form
    2,260.62/3,390.66 = 617.31/x
  3. Step 3: Cross multiply
    2,260.62x = 3,390.66 × 617.31
  4. Step 4: Simplify right side
    2,260.62x = 2,093,088.32
  5. Step 5: Solve for x
    x = 2,093,088.32/2,260.62
  6. Step 6: Final answer
    x = 925.89

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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.