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Finding the Fourth Proportional to 2,701.95, 3,729 and 1,862.38

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Solution

The fourth proportional to 2,701.95, 3,729 and 1,862.38 is: 2,570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.95 : 3,729 = 1,862.38 : x
  2. Step 2: Convert to fraction form
    2,701.95/3,729 = 1,862.38/x
  3. Step 3: Cross multiply
    2,701.95x = 3,729 × 1,862.38
  4. Step 4: Simplify right side
    2,701.95x = 6,944,815.02
  5. Step 5: Solve for x
    x = 6,944,815.02/2,701.95
  6. Step 6: Final answer
    x = 2,570.30

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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.