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Finding the Fourth Proportional to 2,983.76, 4,122.54 and 2,359.08

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Solution

The fourth proportional to 2,983.76, 4,122.54 and 2,359.08 is: 3,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.76 : 4,122.54 = 2,359.08 : x
  2. Step 2: Convert to fraction form
    2,983.76/4,122.54 = 2,359.08/x
  3. Step 3: Cross multiply
    2,983.76x = 4,122.54 × 2,359.08
  4. Step 4: Simplify right side
    2,983.76x = 9,725,401.66
  5. Step 5: Solve for x
    x = 9,725,401.66/2,983.76
  6. Step 6: Final answer
    x = 3,259.45

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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.