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Finding the Fourth Proportional to 2,365.94, 3,264.02 and 1,526.46

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Solution

The fourth proportional to 2,365.94, 3,264.02 and 1,526.46 is: 2,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.94 : 3,264.02 = 1,526.46 : x
  2. Step 2: Convert to fraction form
    2,365.94/3,264.02 = 1,526.46/x
  3. Step 3: Cross multiply
    2,365.94x = 3,264.02 × 1,526.46
  4. Step 4: Simplify right side
    2,365.94x = 4,982,395.97
  5. Step 5: Solve for x
    x = 4,982,395.97/2,365.94
  6. Step 6: Final answer
    x = 2,105.88

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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.