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Finding the Fourth Proportional to 2,807.24, 3,875.80 and 2,512.00

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Solution

The fourth proportional to 2,807.24, 3,875.80 and 2,512.00 is: 3,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807.24 : 3,875.80 = 2,512.00 : x
  2. Step 2: Convert to fraction form
    2,807.24/3,875.80 = 2,512.00/x
  3. Step 3: Cross multiply
    2,807.24x = 3,875.80 × 2,512.00
  4. Step 4: Simplify right side
    2,807.24x = 9,735,993.63
  5. Step 5: Solve for x
    x = 9,735,993.63/2,807.24
  6. Step 6: Final answer
    x = 3,468.17

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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.