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Finding the Fourth Proportional to 2,316.88, 3,475.30 and 585.50

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Solution

The fourth proportional to 2,316.88, 3,475.30 and 585.50 is: 878.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.88 : 3,475.30 = 585.50 : x
  2. Step 2: Convert to fraction form
    2,316.88/3,475.30 = 585.50/x
  3. Step 3: Cross multiply
    2,316.88x = 3,475.30 × 585.50
  4. Step 4: Simplify right side
    2,316.88x = 2,034,788.15
  5. Step 5: Solve for x
    x = 2,034,788.15/2,316.88
  6. Step 6: Final answer
    x = 878.24

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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.