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Finding the Fourth Proportional to 2,265.74, 3,398.68 and 705.80

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Solution

The fourth proportional to 2,265.74, 3,398.68 and 705.80 is: 1,058.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.74 : 3,398.68 = 705.80 : x
  2. Step 2: Convert to fraction form
    2,265.74/3,398.68 = 705.80/x
  3. Step 3: Cross multiply
    2,265.74x = 3,398.68 × 705.80
  4. Step 4: Simplify right side
    2,265.74x = 2,398,788.34
  5. Step 5: Solve for x
    x = 2,398,788.34/2,265.74
  6. Step 6: Final answer
    x = 1,058.72

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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.