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Finding the Fourth Proportional to 2,708.64, 3,737.91 and 1,466.64

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Solution

The fourth proportional to 2,708.64, 3,737.91 and 1,466.64 is: 2,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.64 : 3,737.91 = 1,466.64 : x
  2. Step 2: Convert to fraction form
    2,708.64/3,737.91 = 1,466.64/x
  3. Step 3: Cross multiply
    2,708.64x = 3,737.91 × 1,466.64
  4. Step 4: Simplify right side
    2,708.64x = 5,482,168.32
  5. Step 5: Solve for x
    x = 5,482,168.32/2,708.64
  6. Step 6: Final answer
    x = 2,023.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.