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Finding the Fourth Proportional to 2,319.17, 3,478.75 and 675.68

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Solution

The fourth proportional to 2,319.17, 3,478.75 and 675.68 is: 1,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.17 : 3,478.75 = 675.68 : x
  2. Step 2: Convert to fraction form
    2,319.17/3,478.75 = 675.68/x
  3. Step 3: Cross multiply
    2,319.17x = 3,478.75 × 675.68
  4. Step 4: Simplify right side
    2,319.17x = 2,350,502.72
  5. Step 5: Solve for x
    x = 2,350,502.72/2,319.17
  6. Step 6: Final answer
    x = 1,013.51

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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.