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Finding the Fourth Proportional to 1,642.19, 2,265.35 and 978.93

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Solution

The fourth proportional to 1,642.19, 2,265.35 and 978.93 is: 1,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.19 : 2,265.35 = 978.93 : x
  2. Step 2: Convert to fraction form
    1,642.19/2,265.35 = 978.93/x
  3. Step 3: Cross multiply
    1,642.19x = 2,265.35 × 978.93
  4. Step 4: Simplify right side
    1,642.19x = 2,217,614.18
  5. Step 5: Solve for x
    x = 2,217,614.18/1,642.19
  6. Step 6: Final answer
    x = 1,350.40

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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.