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Finding the Fourth Proportional to 2,264.55, 3,397.08 and 2,032.01

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Solution

The fourth proportional to 2,264.55, 3,397.08 and 2,032.01 is: 3,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.55 : 3,397.08 = 2,032.01 : x
  2. Step 2: Convert to fraction form
    2,264.55/3,397.08 = 2,032.01/x
  3. Step 3: Cross multiply
    2,264.55x = 3,397.08 × 2,032.01
  4. Step 4: Simplify right side
    2,264.55x = 6,902,900.53
  5. Step 5: Solve for x
    x = 6,902,900.53/2,264.55
  6. Step 6: Final answer
    x = 3,048.24

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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.