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Finding the Fourth Proportional to 2,834.76, 4,254.06 and 1,103.16

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Solution

The fourth proportional to 2,834.76, 4,254.06 and 1,103.16 is: 1,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.76 : 4,254.06 = 1,103.16 : x
  2. Step 2: Convert to fraction form
    2,834.76/4,254.06 = 1,103.16/x
  3. Step 3: Cross multiply
    2,834.76x = 4,254.06 × 1,103.16
  4. Step 4: Simplify right side
    2,834.76x = 4,692,908.83
  5. Step 5: Solve for x
    x = 4,692,908.83/2,834.76
  6. Step 6: Final answer
    x = 1,655.49

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Why These Related Problems?

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