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Finding the Fourth Proportional to 2,472.25, 3,411.71 and 1,368.25

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Solution

The fourth proportional to 2,472.25, 3,411.71 and 1,368.25 is: 1,888.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.25 : 3,411.71 = 1,368.25 : x
  2. Step 2: Convert to fraction form
    2,472.25/3,411.71 = 1,368.25/x
  3. Step 3: Cross multiply
    2,472.25x = 3,411.71 × 1,368.25
  4. Step 4: Simplify right side
    2,472.25x = 4,668,072.21
  5. Step 5: Solve for x
    x = 4,668,072.21/2,472.25
  6. Step 6: Final answer
    x = 1,888.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.