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Finding the Fourth Proportional to 2,807.14, 4,210.54 and 859.20

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Solution

The fourth proportional to 2,807.14, 4,210.54 and 859.20 is: 1,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.14 : 4,210.54 = 859.20 : x
  2. Step 2: Convert to fraction form
    2,807.14/4,210.54 = 859.20/x
  3. Step 3: Cross multiply
    2,807.14x = 4,210.54 × 859.20
  4. Step 4: Simplify right side
    2,807.14x = 3,617,695.97
  5. Step 5: Solve for x
    x = 3,617,695.97/2,807.14
  6. Step 6: Final answer
    x = 1,288.75

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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.