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Finding the Fourth Proportional to 2,740.59, 4,111.53 and 891.70

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Solution

The fourth proportional to 2,740.59, 4,111.53 and 891.70 is: 1,337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.59 : 4,111.53 = 891.70 : x
  2. Step 2: Convert to fraction form
    2,740.59/4,111.53 = 891.70/x
  3. Step 3: Cross multiply
    2,740.59x = 4,111.53 × 891.70
  4. Step 4: Simplify right side
    2,740.59x = 3,666,251.30
  5. Step 5: Solve for x
    x = 3,666,251.30/2,740.59
  6. Step 6: Final answer
    x = 1,337.76

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1.5x scale

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.