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Finding the Fourth Proportional to 2,701.59, 3,729.29 and 2,038.61

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Solution

The fourth proportional to 2,701.59, 3,729.29 and 2,038.61 is: 2,814.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.59 : 3,729.29 = 2,038.61 : x
  2. Step 2: Convert to fraction form
    2,701.59/3,729.29 = 2,038.61/x
  3. Step 3: Cross multiply
    2,701.59x = 3,729.29 × 2,038.61
  4. Step 4: Simplify right side
    2,701.59x = 7,602,539.05
  5. Step 5: Solve for x
    x = 7,602,539.05/2,701.59
  6. Step 6: Final answer
    x = 2,814.10

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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.