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Finding the Fourth Proportional to 2,926.84, 4,391.02 and 847.02

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Solution

The fourth proportional to 2,926.84, 4,391.02 and 847.02 is: 1,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.84 : 4,391.02 = 847.02 : x
  2. Step 2: Convert to fraction form
    2,926.84/4,391.02 = 847.02/x
  3. Step 3: Cross multiply
    2,926.84x = 4,391.02 × 847.02
  4. Step 4: Simplify right side
    2,926.84x = 3,719,281.76
  5. Step 5: Solve for x
    x = 3,719,281.76/2,926.84
  6. Step 6: Final answer
    x = 1,270.75

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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.