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Finding the Fourth Proportional to 2,264.91, 3,397.37 and 804.06

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Solution

The fourth proportional to 2,264.91, 3,397.37 and 804.06 is: 1,206.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.91 : 3,397.37 = 804.06 : x
  2. Step 2: Convert to fraction form
    2,264.91/3,397.37 = 804.06/x
  3. Step 3: Cross multiply
    2,264.91x = 3,397.37 × 804.06
  4. Step 4: Simplify right side
    2,264.91x = 2,731,701.90
  5. Step 5: Solve for x
    x = 2,731,701.90/2,264.91
  6. Step 6: Final answer
    x = 1,206.10

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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.