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Finding the Fourth Proportional to 2,970.40, 4,103.08 and 2,280.32

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Solution

The fourth proportional to 2,970.40, 4,103.08 and 2,280.32 is: 3,149.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.40 : 4,103.08 = 2,280.32 : x
  2. Step 2: Convert to fraction form
    2,970.40/4,103.08 = 2,280.32/x
  3. Step 3: Cross multiply
    2,970.40x = 4,103.08 × 2,280.32
  4. Step 4: Simplify right side
    2,970.40x = 9,356,335.39
  5. Step 5: Solve for x
    x = 9,356,335.39/2,970.40
  6. Step 6: Final answer
    x = 3,149.86

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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.