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Finding the Fourth Proportional to 1,552.95, 2,142.71 and 880.72

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Solution

The fourth proportional to 1,552.95, 2,142.71 and 880.72 is: 1,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,552.95 : 2,142.71 = 880.72 : x
  2. Step 2: Convert to fraction form
    1,552.95/2,142.71 = 880.72/x
  3. Step 3: Cross multiply
    1,552.95x = 2,142.71 × 880.72
  4. Step 4: Simplify right side
    1,552.95x = 1,887,127.55
  5. Step 5: Solve for x
    x = 1,887,127.55/1,552.95
  6. Step 6: Final answer
    x = 1,215.19

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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.