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Finding the Fourth Proportional to 1,677.68, 2,315.48 and 978.92

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Solution

The fourth proportional to 1,677.68, 2,315.48 and 978.92 is: 1,351.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.68 : 2,315.48 = 978.92 : x
  2. Step 2: Convert to fraction form
    1,677.68/2,315.48 = 978.92/x
  3. Step 3: Cross multiply
    1,677.68x = 2,315.48 × 978.92
  4. Step 4: Simplify right side
    1,677.68x = 2,266,669.68
  5. Step 5: Solve for x
    x = 2,266,669.68/1,677.68
  6. Step 6: Final answer
    x = 1,351.07

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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.