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Finding the Fourth Proportional to 2,741.64, 4,113.42 and 1,646.76

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Solution

The fourth proportional to 2,741.64, 4,113.42 and 1,646.76 is: 2,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.64 : 4,113.42 = 1,646.76 : x
  2. Step 2: Convert to fraction form
    2,741.64/4,113.42 = 1,646.76/x
  3. Step 3: Cross multiply
    2,741.64x = 4,113.42 × 1,646.76
  4. Step 4: Simplify right side
    2,741.64x = 6,773,815.52
  5. Step 5: Solve for x
    x = 6,773,815.52/2,741.64
  6. Step 6: Final answer
    x = 2,470.72

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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.