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Finding the Fourth Proportional to 2,859.30, 4,288.95 and 1,215.90

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Solution

The fourth proportional to 2,859.30, 4,288.95 and 1,215.90 is: 1,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.30 : 4,288.95 = 1,215.90 : x
  2. Step 2: Convert to fraction form
    2,859.30/4,288.95 = 1,215.90/x
  3. Step 3: Cross multiply
    2,859.30x = 4,288.95 × 1,215.90
  4. Step 4: Simplify right side
    2,859.30x = 5,214,934.31
  5. Step 5: Solve for x
    x = 5,214,934.31/2,859.30
  6. Step 6: Final answer
    x = 1,823.85

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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.