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Finding the Fourth Proportional to 1,373.27, 1,895.11 and 842.15

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Solution

The fourth proportional to 1,373.27, 1,895.11 and 842.15 is: 1,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.27 : 1,895.11 = 842.15 : x
  2. Step 2: Convert to fraction form
    1,373.27/1,895.11 = 842.15/x
  3. Step 3: Cross multiply
    1,373.27x = 1,895.11 × 842.15
  4. Step 4: Simplify right side
    1,373.27x = 1,595,957.41
  5. Step 5: Solve for x
    x = 1,595,957.41/1,373.27
  6. Step 6: Final answer
    x = 1,162.16

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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.