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Finding the Fourth Proportional to 2,266.17, 3,397.64 and 1,032.95

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Solution

The fourth proportional to 2,266.17, 3,397.64 and 1,032.95 is: 1,548.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266.17 : 3,397.64 = 1,032.95 : x
  2. Step 2: Convert to fraction form
    2,266.17/3,397.64 = 1,032.95/x
  3. Step 3: Cross multiply
    2,266.17x = 3,397.64 × 1,032.95
  4. Step 4: Simplify right side
    2,266.17x = 3,509,570.09
  5. Step 5: Solve for x
    x = 3,509,570.09/2,266.17
  6. Step 6: Final answer
    x = 1,548.68

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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.