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Finding the Fourth Proportional to 2,353.41, 3,248.17 and 1,358.63

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Solution

The fourth proportional to 2,353.41, 3,248.17 and 1,358.63 is: 1,875.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.41 : 3,248.17 = 1,358.63 : x
  2. Step 2: Convert to fraction form
    2,353.41/3,248.17 = 1,358.63/x
  3. Step 3: Cross multiply
    2,353.41x = 3,248.17 × 1,358.63
  4. Step 4: Simplify right side
    2,353.41x = 4,413,053.75
  5. Step 5: Solve for x
    x = 4,413,053.75/2,353.41
  6. Step 6: Final answer
    x = 1,875.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.