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Finding the Fourth Proportional to 1,915.12, 2,865.34 and 1,776.88

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Solution

The fourth proportional to 1,915.12, 2,865.34 and 1,776.88 is: 2,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.12 : 2,865.34 = 1,776.88 : x
  2. Step 2: Convert to fraction form
    1,915.12/2,865.34 = 1,776.88/x
  3. Step 3: Cross multiply
    1,915.12x = 2,865.34 × 1,776.88
  4. Step 4: Simplify right side
    1,915.12x = 5,091,365.34
  5. Step 5: Solve for x
    x = 5,091,365.34/1,915.12
  6. Step 6: Final answer
    x = 2,658.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.