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Finding the Fourth Proportional to 1,661.15, 2,292.37 and 915.09

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Solution

The fourth proportional to 1,661.15, 2,292.37 and 915.09 is: 1,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661.15 : 2,292.37 = 915.09 : x
  2. Step 2: Convert to fraction form
    1,661.15/2,292.37 = 915.09/x
  3. Step 3: Cross multiply
    1,661.15x = 2,292.37 × 915.09
  4. Step 4: Simplify right side
    1,661.15x = 2,097,730.10
  5. Step 5: Solve for x
    x = 2,097,730.10/1,661.15
  6. Step 6: Final answer
    x = 1,262.82

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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.