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Finding the Fourth Proportional to 1,480.03, 2,042.37 and 816.86

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Solution

The fourth proportional to 1,480.03, 2,042.37 and 816.86 is: 1,127.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.03 : 2,042.37 = 816.86 : x
  2. Step 2: Convert to fraction form
    1,480.03/2,042.37 = 816.86/x
  3. Step 3: Cross multiply
    1,480.03x = 2,042.37 × 816.86
  4. Step 4: Simplify right side
    1,480.03x = 1,668,335.46
  5. Step 5: Solve for x
    x = 1,668,335.46/1,480.03
  6. Step 6: Final answer
    x = 1,127.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.