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Finding the Fourth Proportional to 2,646.65, 3,970.18 and 891.66

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Solution

The fourth proportional to 2,646.65, 3,970.18 and 891.66 is: 1,337.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.65 : 3,970.18 = 891.66 : x
  2. Step 2: Convert to fraction form
    2,646.65/3,970.18 = 891.66/x
  3. Step 3: Cross multiply
    2,646.65x = 3,970.18 × 891.66
  4. Step 4: Simplify right side
    2,646.65x = 3,540,050.70
  5. Step 5: Solve for x
    x = 3,540,050.70/2,646.65
  6. Step 6: Final answer
    x = 1,337.56

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