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Finding the Fourth Proportional to 2,877.57, 3,971.07 and 1,699.23

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Solution

The fourth proportional to 2,877.57, 3,971.07 and 1,699.23 is: 2,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.57 : 3,971.07 = 1,699.23 : x
  2. Step 2: Convert to fraction form
    2,877.57/3,971.07 = 1,699.23/x
  3. Step 3: Cross multiply
    2,877.57x = 3,971.07 × 1,699.23
  4. Step 4: Simplify right side
    2,877.57x = 6,747,737.17
  5. Step 5: Solve for x
    x = 6,747,737.17/2,877.57
  6. Step 6: Final answer
    x = 2,344.94

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1.5x scale

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.