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Finding the Fourth Proportional to 1,952.70, 2,929.04 and 783.22

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Solution

The fourth proportional to 1,952.70, 2,929.04 and 783.22 is: 1,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.70 : 2,929.04 = 783.22 : x
  2. Step 2: Convert to fraction form
    1,952.70/2,929.04 = 783.22/x
  3. Step 3: Cross multiply
    1,952.70x = 2,929.04 × 783.22
  4. Step 4: Simplify right side
    1,952.70x = 2,294,078.79
  5. Step 5: Solve for x
    x = 2,294,078.79/1,952.70
  6. Step 6: Final answer
    x = 1,174.83

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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.