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Finding the Fourth Proportional to 2,106.40, 3,155.76 and 951.52

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Solution

The fourth proportional to 2,106.40, 3,155.76 and 951.52 is: 1,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.40 : 3,155.76 = 951.52 : x
  2. Step 2: Convert to fraction form
    2,106.40/3,155.76 = 951.52/x
  3. Step 3: Cross multiply
    2,106.40x = 3,155.76 × 951.52
  4. Step 4: Simplify right side
    2,106.40x = 3,002,768.76
  5. Step 5: Solve for x
    x = 3,002,768.76/2,106.40
  6. Step 6: Final answer
    x = 1,425.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.