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Finding the Fourth Proportional to 2,264.32, 3,410.08 and 1,993.40

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Solution

The fourth proportional to 2,264.32, 3,410.08 and 1,993.40 is: 3,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.32 : 3,410.08 = 1,993.40 : x
  2. Step 2: Convert to fraction form
    2,264.32/3,410.08 = 1,993.40/x
  3. Step 3: Cross multiply
    2,264.32x = 3,410.08 × 1,993.40
  4. Step 4: Simplify right side
    2,264.32x = 6,797,653.47
  5. Step 5: Solve for x
    x = 6,797,653.47/2,264.32
  6. Step 6: Final answer
    x = 3,002.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.