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Finding the Fourth Proportional to 2,316.90, 3,475.38 and 585.48

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Solution

The fourth proportional to 2,316.90, 3,475.38 and 585.48 is: 878.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.90 : 3,475.38 = 585.48 : x
  2. Step 2: Convert to fraction form
    2,316.90/3,475.38 = 585.48/x
  3. Step 3: Cross multiply
    2,316.90x = 3,475.38 × 585.48
  4. Step 4: Simplify right side
    2,316.90x = 2,034,765.48
  5. Step 5: Solve for x
    x = 2,034,765.48/2,316.90
  6. Step 6: Final answer
    x = 878.23

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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.