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Finding the Fourth Proportional to 1,963.51, 2,945.53 and 714.21

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Solution

The fourth proportional to 1,963.51, 2,945.53 and 714.21 is: 1,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.51 : 2,945.53 = 714.21 : x
  2. Step 2: Convert to fraction form
    1,963.51/2,945.53 = 714.21/x
  3. Step 3: Cross multiply
    1,963.51x = 2,945.53 × 714.21
  4. Step 4: Simplify right side
    1,963.51x = 2,103,726.98
  5. Step 5: Solve for x
    x = 2,103,726.98/1,963.51
  6. Step 6: Final answer
    x = 1,071.41

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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.