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Finding the Fourth Proportional to 1,661.95, 2,293.46 and 915.92

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Solution

The fourth proportional to 1,661.95, 2,293.46 and 915.92 is: 1,263.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.95 : 2,293.46 = 915.92 : x
  2. Step 2: Convert to fraction form
    1,661.95/2,293.46 = 915.92/x
  3. Step 3: Cross multiply
    1,661.95x = 2,293.46 × 915.92
  4. Step 4: Simplify right side
    1,661.95x = 2,100,614.42
  5. Step 5: Solve for x
    x = 2,100,614.42/1,661.95
  6. Step 6: Final answer
    x = 1,263.95

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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.