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Finding the Fourth Proportional to 2,265.95, 3,398.60 and 1,033.02

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Solution

The fourth proportional to 2,265.95, 3,398.60 and 1,033.02 is: 1,549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.95 : 3,398.60 = 1,033.02 : x
  2. Step 2: Convert to fraction form
    2,265.95/3,398.60 = 1,033.02/x
  3. Step 3: Cross multiply
    2,265.95x = 3,398.60 × 1,033.02
  4. Step 4: Simplify right side
    2,265.95x = 3,510,816.61
  5. Step 5: Solve for x
    x = 3,510,816.61/2,265.95
  6. Step 6: Final answer
    x = 1,549.38

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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.