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Finding the Fourth Proportional to 1,553.04, 2,142.95 and 880.80

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Solution

The fourth proportional to 1,553.04, 2,142.95 and 880.80 is: 1,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.04 : 2,142.95 = 880.80 : x
  2. Step 2: Convert to fraction form
    1,553.04/2,142.95 = 880.80/x
  3. Step 3: Cross multiply
    1,553.04x = 2,142.95 × 880.80
  4. Step 4: Simplify right side
    1,553.04x = 1,887,510.36
  5. Step 5: Solve for x
    x = 1,887,510.36/1,553.04
  6. Step 6: Final answer
    x = 1,215.36

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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.