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Finding the Fourth Proportional to 2,701.03, 3,721.87 and 2,071.53

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Solution

The fourth proportional to 2,701.03, 3,721.87 and 2,071.53 is: 2,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.03 : 3,721.87 = 2,071.53 : x
  2. Step 2: Convert to fraction form
    2,701.03/3,721.87 = 2,071.53/x
  3. Step 3: Cross multiply
    2,701.03x = 3,721.87 × 2,071.53
  4. Step 4: Simplify right side
    2,701.03x = 7,709,965.36
  5. Step 5: Solve for x
    x = 7,709,965.36/2,701.03
  6. Step 6: Final answer
    x = 2,854.45

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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.