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Finding the Fourth Proportional to 1,952.33, 2,929.63 and 720.59

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Solution

The fourth proportional to 1,952.33, 2,929.63 and 720.59 is: 1,081.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.33 : 2,929.63 = 720.59 : x
  2. Step 2: Convert to fraction form
    1,952.33/2,929.63 = 720.59/x
  3. Step 3: Cross multiply
    1,952.33x = 2,929.63 × 720.59
  4. Step 4: Simplify right side
    1,952.33x = 2,111,070.31
  5. Step 5: Solve for x
    x = 2,111,070.31/1,952.33
  6. Step 6: Final answer
    x = 1,081.31

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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.