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Finding the Fourth Proportional to 2,840.02, 4,255.17 and 2,292.46

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Solution

The fourth proportional to 2,840.02, 4,255.17 and 2,292.46 is: 3,434.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.02 : 4,255.17 = 2,292.46 : x
  2. Step 2: Convert to fraction form
    2,840.02/4,255.17 = 2,292.46/x
  3. Step 3: Cross multiply
    2,840.02x = 4,255.17 × 2,292.46
  4. Step 4: Simplify right side
    2,840.02x = 9,754,807.02
  5. Step 5: Solve for x
    x = 9,754,807.02/2,840.02
  6. Step 6: Final answer
    x = 3,434.77

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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.