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Finding the Fourth Proportional to 1,308.69, 1,963.71 and 1,002.51

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Solution

The fourth proportional to 1,308.69, 1,963.71 and 1,002.51 is: 1,504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.69 : 1,963.71 = 1,002.51 : x
  2. Step 2: Convert to fraction form
    1,308.69/1,963.71 = 1,002.51/x
  3. Step 3: Cross multiply
    1,308.69x = 1,963.71 × 1,002.51
  4. Step 4: Simplify right side
    1,308.69x = 1,968,638.91
  5. Step 5: Solve for x
    x = 1,968,638.91/1,308.69
  6. Step 6: Final answer
    x = 1,504.28

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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.