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Finding the Fourth Proportional to 1,677.50, 2,314.95 and 978.88

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Solution

The fourth proportional to 1,677.50, 2,314.95 and 978.88 is: 1,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.50 : 2,314.95 = 978.88 : x
  2. Step 2: Convert to fraction form
    1,677.50/2,314.95 = 978.88/x
  3. Step 3: Cross multiply
    1,677.50x = 2,314.95 × 978.88
  4. Step 4: Simplify right side
    1,677.50x = 2,266,058.26
  5. Step 5: Solve for x
    x = 2,266,058.26/1,677.50
  6. Step 6: Final answer
    x = 1,350.85

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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.