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Finding the Fourth Proportional to 2,877.34, 3,970.74 and 1,618.39

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Solution

The fourth proportional to 2,877.34, 3,970.74 and 1,618.39 is: 2,233.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877.34 : 3,970.74 = 1,618.39 : x
  2. Step 2: Convert to fraction form
    2,877.34/3,970.74 = 1,618.39/x
  3. Step 3: Cross multiply
    2,877.34x = 3,970.74 × 1,618.39
  4. Step 4: Simplify right side
    2,877.34x = 6,426,205.91
  5. Step 5: Solve for x
    x = 6,426,205.91/2,877.34
  6. Step 6: Final answer
    x = 2,233.38

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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.