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Finding the Fourth Proportional to 2,316.78, 3,475.08 and 585.39

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Solution

The fourth proportional to 2,316.78, 3,475.08 and 585.39 is: 878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.78 : 3,475.08 = 585.39 : x
  2. Step 2: Convert to fraction form
    2,316.78/3,475.08 = 585.39/x
  3. Step 3: Cross multiply
    2,316.78x = 3,475.08 × 585.39
  4. Step 4: Simplify right side
    2,316.78x = 2,034,277.08
  5. Step 5: Solve for x
    x = 2,034,277.08/2,316.78
  6. Step 6: Final answer
    x = 878.06

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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.