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Finding the Fourth Proportional to 2,866.71, 4,299.53 and 992.59

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Solution

The fourth proportional to 2,866.71, 4,299.53 and 992.59 is: 1,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,866.71 : 4,299.53 = 992.59 : x
  2. Step 2: Convert to fraction form
    2,866.71/4,299.53 = 992.59/x
  3. Step 3: Cross multiply
    2,866.71x = 4,299.53 × 992.59
  4. Step 4: Simplify right side
    2,866.71x = 4,267,670.48
  5. Step 5: Solve for x
    x = 4,267,670.48/2,866.71
  6. Step 6: Final answer
    x = 1,488.70

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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.