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Finding the Fourth Proportional to 2,317.09, 3,475.65 and 585.71

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Solution

The fourth proportional to 2,317.09, 3,475.65 and 585.71 is: 878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.09 : 3,475.65 = 585.71 : x
  2. Step 2: Convert to fraction form
    2,317.09/3,475.65 = 585.71/x
  3. Step 3: Cross multiply
    2,317.09x = 3,475.65 × 585.71
  4. Step 4: Simplify right side
    2,317.09x = 2,035,722.96
  5. Step 5: Solve for x
    x = 2,035,722.96/2,317.09
  6. Step 6: Final answer
    x = 878.57

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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.