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Finding the Fourth Proportional to 1,661.70, 2,293.15 and 915.65

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Solution

The fourth proportional to 1,661.70, 2,293.15 and 915.65 is: 1,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.70 : 2,293.15 = 915.65 : x
  2. Step 2: Convert to fraction form
    1,661.70/2,293.15 = 915.65/x
  3. Step 3: Cross multiply
    1,661.70x = 2,293.15 × 915.65
  4. Step 4: Simplify right side
    1,661.70x = 2,099,722.80
  5. Step 5: Solve for x
    x = 2,099,722.80/1,661.70
  6. Step 6: Final answer
    x = 1,263.60

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