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Finding the Fourth Proportional to 2,970.76, 4,454.62 and 1,022.28

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Solution

The fourth proportional to 2,970.76, 4,454.62 and 1,022.28 is: 1,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.76 : 4,454.62 = 1,022.28 : x
  2. Step 2: Convert to fraction form
    2,970.76/4,454.62 = 1,022.28/x
  3. Step 3: Cross multiply
    2,970.76x = 4,454.62 × 1,022.28
  4. Step 4: Simplify right side
    2,970.76x = 4,553,868.93
  5. Step 5: Solve for x
    x = 4,553,868.93/2,970.76
  6. Step 6: Final answer
    x = 1,532.90

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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.