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Finding the Fourth Proportional to 2,062.16, 2,843.88 and 1,913.12

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Solution

The fourth proportional to 2,062.16, 2,843.88 and 1,913.12 is: 2,638.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.16 : 2,843.88 = 1,913.12 : x
  2. Step 2: Convert to fraction form
    2,062.16/2,843.88 = 1,913.12/x
  3. Step 3: Cross multiply
    2,062.16x = 2,843.88 × 1,913.12
  4. Step 4: Simplify right side
    2,062.16x = 5,440,683.71
  5. Step 5: Solve for x
    x = 5,440,683.71/2,062.16
  6. Step 6: Final answer
    x = 2,638.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.