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Finding the Fourth Proportional to 2,646.73, 3,970.36 and 915.13

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Solution

The fourth proportional to 2,646.73, 3,970.36 and 915.13 is: 1,372.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.73 : 3,970.36 = 915.13 : x
  2. Step 2: Convert to fraction form
    2,646.73/3,970.36 = 915.13/x
  3. Step 3: Cross multiply
    2,646.73x = 3,970.36 × 915.13
  4. Step 4: Simplify right side
    2,646.73x = 3,633,395.55
  5. Step 5: Solve for x
    x = 3,633,395.55/2,646.73
  6. Step 6: Final answer
    x = 1,372.79

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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.