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Finding the Fourth Proportional to 2,870.30, 3,952.86 and 2,468.90

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Solution

The fourth proportional to 2,870.30, 3,952.86 and 2,468.90 is: 3,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.30 : 3,952.86 = 2,468.90 : x
  2. Step 2: Convert to fraction form
    2,870.30/3,952.86 = 2,468.90/x
  3. Step 3: Cross multiply
    2,870.30x = 3,952.86 × 2,468.90
  4. Step 4: Simplify right side
    2,870.30x = 9,759,216.05
  5. Step 5: Solve for x
    x = 9,759,216.05/2,870.30
  6. Step 6: Final answer
    x = 3,400.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.