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Finding the Fourth Proportional to 1,661.68, 2,293.12 and 915.62

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Solution

The fourth proportional to 1,661.68, 2,293.12 and 915.62 is: 1,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.68 : 2,293.12 = 915.62 : x
  2. Step 2: Convert to fraction form
    1,661.68/2,293.12 = 915.62/x
  3. Step 3: Cross multiply
    1,661.68x = 2,293.12 × 915.62
  4. Step 4: Simplify right side
    1,661.68x = 2,099,626.53
  5. Step 5: Solve for x
    x = 2,099,626.53/1,661.68
  6. Step 6: Final answer
    x = 1,263.56

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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.