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Finding the Fourth Proportional to 2,466.40, 3,699.60 and 2,264.80

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Solution

The fourth proportional to 2,466.40, 3,699.60 and 2,264.80 is: 3,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.40 : 3,699.60 = 2,264.80 : x
  2. Step 2: Convert to fraction form
    2,466.40/3,699.60 = 2,264.80/x
  3. Step 3: Cross multiply
    2,466.40x = 3,699.60 × 2,264.80
  4. Step 4: Simplify right side
    2,466.40x = 8,378,854.08
  5. Step 5: Solve for x
    x = 8,378,854.08/2,466.40
  6. Step 6: Final answer
    x = 3,397.20

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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.