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Finding the Fourth Proportional to 2,697.76, 4,046.42 and 1,054.66

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Solution

The fourth proportional to 2,697.76, 4,046.42 and 1,054.66 is: 1,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.76 : 4,046.42 = 1,054.66 : x
  2. Step 2: Convert to fraction form
    2,697.76/4,046.42 = 1,054.66/x
  3. Step 3: Cross multiply
    2,697.76x = 4,046.42 × 1,054.66
  4. Step 4: Simplify right side
    2,697.76x = 4,267,597.32
  5. Step 5: Solve for x
    x = 4,267,597.32/2,697.76
  6. Step 6: Final answer
    x = 1,581.90

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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.