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Finding the Fourth Proportional to 2,860.52, 4,288.70 and 1,299.74

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Solution

The fourth proportional to 2,860.52, 4,288.70 and 1,299.74 is: 1,948.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860.52 : 4,288.70 = 1,299.74 : x
  2. Step 2: Convert to fraction form
    2,860.52/4,288.70 = 1,299.74/x
  3. Step 3: Cross multiply
    2,860.52x = 4,288.70 × 1,299.74
  4. Step 4: Simplify right side
    2,860.52x = 5,574,167.00
  5. Step 5: Solve for x
    x = 5,574,167.00/2,860.52
  6. Step 6: Final answer
    x = 1,948.66

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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.