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Finding the Fourth Proportional to 2,394.47, 3,568.20 and 2,316.17

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Solution

The fourth proportional to 2,394.47, 3,568.20 and 2,316.17 is: 3,451.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.47 : 3,568.20 = 2,316.17 : x
  2. Step 2: Convert to fraction form
    2,394.47/3,568.20 = 2,316.17/x
  3. Step 3: Cross multiply
    2,394.47x = 3,568.20 × 2,316.17
  4. Step 4: Simplify right side
    2,394.47x = 8,264,557.79
  5. Step 5: Solve for x
    x = 8,264,557.79/2,394.47
  6. Step 6: Final answer
    x = 3,451.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.