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Finding the Fourth Proportional to 1,141.01, 1,572.46 and 891.93

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Solution

The fourth proportional to 1,141.01, 1,572.46 and 891.93 is: 1,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.01 : 1,572.46 = 891.93 : x
  2. Step 2: Convert to fraction form
    1,141.01/1,572.46 = 891.93/x
  3. Step 3: Cross multiply
    1,141.01x = 1,572.46 × 891.93
  4. Step 4: Simplify right side
    1,141.01x = 1,402,524.25
  5. Step 5: Solve for x
    x = 1,402,524.25/1,141.01
  6. Step 6: Final answer
    x = 1,229.20

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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.