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Finding the Fourth Proportional to 2,358.86, 3,538.26 and 971.28

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Solution

The fourth proportional to 2,358.86, 3,538.26 and 971.28 is: 1,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.86 : 3,538.26 = 971.28 : x
  2. Step 2: Convert to fraction form
    2,358.86/3,538.26 = 971.28/x
  3. Step 3: Cross multiply
    2,358.86x = 3,538.26 × 971.28
  4. Step 4: Simplify right side
    2,358.86x = 3,436,641.17
  5. Step 5: Solve for x
    x = 3,436,641.17/2,358.86
  6. Step 6: Final answer
    x = 1,456.91

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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.