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Finding the Fourth Proportional to 2,868.42, 4,302.94 and 1,019.71

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Solution

The fourth proportional to 2,868.42, 4,302.94 and 1,019.71 is: 1,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.42 : 4,302.94 = 1,019.71 : x
  2. Step 2: Convert to fraction form
    2,868.42/4,302.94 = 1,019.71/x
  3. Step 3: Cross multiply
    2,868.42x = 4,302.94 × 1,019.71
  4. Step 4: Simplify right side
    2,868.42x = 4,387,750.95
  5. Step 5: Solve for x
    x = 4,387,750.95/2,868.42
  6. Step 6: Final answer
    x = 1,529.68

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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.