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Finding the Fourth Proportional to 2,838.72, 4,256.16 and 1,106.88

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Solution

The fourth proportional to 2,838.72, 4,256.16 and 1,106.88 is: 1,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.72 : 4,256.16 = 1,106.88 : x
  2. Step 2: Convert to fraction form
    2,838.72/4,256.16 = 1,106.88/x
  3. Step 3: Cross multiply
    2,838.72x = 4,256.16 × 1,106.88
  4. Step 4: Simplify right side
    2,838.72x = 4,711,058.38
  5. Step 5: Solve for x
    x = 4,711,058.38/2,838.72
  6. Step 6: Final answer
    x = 1,659.57

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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.