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Finding the Fourth Proportional to 1,541.04, 2,126.62 and 842.41

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Solution

The fourth proportional to 1,541.04, 2,126.62 and 842.41 is: 1,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.04 : 2,126.62 = 842.41 : x
  2. Step 2: Convert to fraction form
    1,541.04/2,126.62 = 842.41/x
  3. Step 3: Cross multiply
    1,541.04x = 2,126.62 × 842.41
  4. Step 4: Simplify right side
    1,541.04x = 1,791,485.95
  5. Step 5: Solve for x
    x = 1,791,485.95/1,541.04
  6. Step 6: Final answer
    x = 1,162.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.