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Finding the Fourth Proportional to 2,316.75, 3,474.87 and 585.38

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Solution

The fourth proportional to 2,316.75, 3,474.87 and 585.38 is: 878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.75 : 3,474.87 = 585.38 : x
  2. Step 2: Convert to fraction form
    2,316.75/3,474.87 = 585.38/x
  3. Step 3: Cross multiply
    2,316.75x = 3,474.87 × 585.38
  4. Step 4: Simplify right side
    2,316.75x = 2,034,119.40
  5. Step 5: Solve for x
    x = 2,034,119.40/2,316.75
  6. Step 6: Final answer
    x = 878.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.