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Finding the Fourth Proportional to 2,820.61, 4,226.19 and 970.71

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Solution

The fourth proportional to 2,820.61, 4,226.19 and 970.71 is: 1,454.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.61 : 4,226.19 = 970.71 : x
  2. Step 2: Convert to fraction form
    2,820.61/4,226.19 = 970.71/x
  3. Step 3: Cross multiply
    2,820.61x = 4,226.19 × 970.71
  4. Step 4: Simplify right side
    2,820.61x = 4,102,404.89
  5. Step 5: Solve for x
    x = 4,102,404.89/2,820.61
  6. Step 6: Final answer
    x = 1,454.44

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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.