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Finding the Fourth Proportional to 2,697.40, 4,046.10 and 2,428.60

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Solution

The fourth proportional to 2,697.40, 4,046.10 and 2,428.60 is: 3,642.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.40 : 4,046.10 = 2,428.60 : x
  2. Step 2: Convert to fraction form
    2,697.40/4,046.10 = 2,428.60/x
  3. Step 3: Cross multiply
    2,697.40x = 4,046.10 × 2,428.60
  4. Step 4: Simplify right side
    2,697.40x = 9,826,358.46
  5. Step 5: Solve for x
    x = 9,826,358.46/2,697.40
  6. Step 6: Final answer
    x = 3,642.90

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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.