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Finding the Fourth Proportional to 2,859.20, 4,288.80 and 2,210.40

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Solution

The fourth proportional to 2,859.20, 4,288.80 and 2,210.40 is: 3,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859.20 : 4,288.80 = 2,210.40 : x
  2. Step 2: Convert to fraction form
    2,859.20/4,288.80 = 2,210.40/x
  3. Step 3: Cross multiply
    2,859.20x = 4,288.80 × 2,210.40
  4. Step 4: Simplify right side
    2,859.20x = 9,479,963.52
  5. Step 5: Solve for x
    x = 9,479,963.52/2,859.20
  6. Step 6: Final answer
    x = 3,315.60

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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.