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Finding the Fourth Proportional to 1,854.03, 2,782.17 and 880.23

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Solution

The fourth proportional to 1,854.03, 2,782.17 and 880.23 is: 1,320.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.03 : 2,782.17 = 880.23 : x
  2. Step 2: Convert to fraction form
    1,854.03/2,782.17 = 880.23/x
  3. Step 3: Cross multiply
    1,854.03x = 2,782.17 × 880.23
  4. Step 4: Simplify right side
    1,854.03x = 2,448,949.50
  5. Step 5: Solve for x
    x = 2,448,949.50/1,854.03
  6. Step 6: Final answer
    x = 1,320.88

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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.