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Finding the Fourth Proportional to 2,646.74, 3,970.11 and 891.42

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Solution

The fourth proportional to 2,646.74, 3,970.11 and 891.42 is: 1,337.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.74 : 3,970.11 = 891.42 : x
  2. Step 2: Convert to fraction form
    2,646.74/3,970.11 = 891.42/x
  3. Step 3: Cross multiply
    2,646.74x = 3,970.11 × 891.42
  4. Step 4: Simplify right side
    2,646.74x = 3,539,046.24
  5. Step 5: Solve for x
    x = 3,539,046.24/2,646.74
  6. Step 6: Final answer
    x = 1,337.13

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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.