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Finding the Fourth Proportional to 2,369.18, 3,269.88 and 1,374.71

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Solution

The fourth proportional to 2,369.18, 3,269.88 and 1,374.71 is: 1,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.18 : 3,269.88 = 1,374.71 : x
  2. Step 2: Convert to fraction form
    2,369.18/3,269.88 = 1,374.71/x
  3. Step 3: Cross multiply
    2,369.18x = 3,269.88 × 1,374.71
  4. Step 4: Simplify right side
    2,369.18x = 4,495,120.39
  5. Step 5: Solve for x
    x = 4,495,120.39/2,369.18
  6. Step 6: Final answer
    x = 1,897.34

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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.