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Finding the Fourth Proportional to 1,541.48, 2,127.18 and 842.86

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Solution

The fourth proportional to 1,541.48, 2,127.18 and 842.86 is: 1,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.48 : 2,127.18 = 842.86 : x
  2. Step 2: Convert to fraction form
    1,541.48/2,127.18 = 842.86/x
  3. Step 3: Cross multiply
    1,541.48x = 2,127.18 × 842.86
  4. Step 4: Simplify right side
    1,541.48x = 1,792,904.30
  5. Step 5: Solve for x
    x = 1,792,904.30/1,541.48
  6. Step 6: Final answer
    x = 1,163.11

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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.