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Finding the Fourth Proportional to 2,649.62, 3,973.62 and 701.58

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Solution

The fourth proportional to 2,649.62, 3,973.62 and 701.58 is: 1,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.62 : 3,973.62 = 701.58 : x
  2. Step 2: Convert to fraction form
    2,649.62/3,973.62 = 701.58/x
  3. Step 3: Cross multiply
    2,649.62x = 3,973.62 × 701.58
  4. Step 4: Simplify right side
    2,649.62x = 2,787,812.32
  5. Step 5: Solve for x
    x = 2,787,812.32/2,649.62
  6. Step 6: Final answer
    x = 1,052.16

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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.