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Finding the Fourth Proportional to 2,957.40, 4,078.62 and 2,367.72

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Solution

The fourth proportional to 2,957.40, 4,078.62 and 2,367.72 is: 3,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.40 : 4,078.62 = 2,367.72 : x
  2. Step 2: Convert to fraction form
    2,957.40/4,078.62 = 2,367.72/x
  3. Step 3: Cross multiply
    2,957.40x = 4,078.62 × 2,367.72
  4. Step 4: Simplify right side
    2,957.40x = 9,657,030.15
  5. Step 5: Solve for x
    x = 9,657,030.15/2,957.40
  6. Step 6: Final answer
    x = 3,265.38

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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.