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Finding the Fourth Proportional to 2,691.63, 4,037.36 and 842.74

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Solution

The fourth proportional to 2,691.63, 4,037.36 and 842.74 is: 1,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.63 : 4,037.36 = 842.74 : x
  2. Step 2: Convert to fraction form
    2,691.63/4,037.36 = 842.74/x
  3. Step 3: Cross multiply
    2,691.63x = 4,037.36 × 842.74
  4. Step 4: Simplify right side
    2,691.63x = 3,402,444.77
  5. Step 5: Solve for x
    x = 3,402,444.77/2,691.63
  6. Step 6: Final answer
    x = 1,264.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.