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Finding the Fourth Proportional to 1,915.84, 2,643.78 and 1,065.06

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Solution

The fourth proportional to 1,915.84, 2,643.78 and 1,065.06 is: 1,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.84 : 2,643.78 = 1,065.06 : x
  2. Step 2: Convert to fraction form
    1,915.84/2,643.78 = 1,065.06/x
  3. Step 3: Cross multiply
    1,915.84x = 2,643.78 × 1,065.06
  4. Step 4: Simplify right side
    1,915.84x = 2,815,784.33
  5. Step 5: Solve for x
    x = 2,815,784.33/1,915.84
  6. Step 6: Final answer
    x = 1,469.74

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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.