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Finding the Fourth Proportional to 2,317.18, 3,475.80 and 585.76

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Solution

The fourth proportional to 2,317.18, 3,475.80 and 585.76 is: 878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.18 : 3,475.80 = 585.76 : x
  2. Step 2: Convert to fraction form
    2,317.18/3,475.80 = 585.76/x
  3. Step 3: Cross multiply
    2,317.18x = 3,475.80 × 585.76
  4. Step 4: Simplify right side
    2,317.18x = 2,035,984.61
  5. Step 5: Solve for x
    x = 2,035,984.61/2,317.18
  6. Step 6: Final answer
    x = 878.65

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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.