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Finding the Fourth Proportional to 3,302.25, 4,955.67 and 1,354.47

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Solution

The fourth proportional to 3,302.25, 4,955.67 and 1,354.47 is: 2,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,302.25 : 4,955.67 = 1,354.47 : x
  2. Step 2: Convert to fraction form
    3,302.25/4,955.67 = 1,354.47/x
  3. Step 3: Cross multiply
    3,302.25x = 4,955.67 × 1,354.47
  4. Step 4: Simplify right side
    3,302.25x = 6,712,306.34
  5. Step 5: Solve for x
    x = 6,712,306.34/3,302.25
  6. Step 6: Final answer
    x = 2,032.65

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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.