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Finding the Fourth Proportional to 2,929.48, 4,393.26 and 981.40

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Solution

The fourth proportional to 2,929.48, 4,393.26 and 981.40 is: 1,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.48 : 4,393.26 = 981.40 : x
  2. Step 2: Convert to fraction form
    2,929.48/4,393.26 = 981.40/x
  3. Step 3: Cross multiply
    2,929.48x = 4,393.26 × 981.40
  4. Step 4: Simplify right side
    2,929.48x = 4,311,545.36
  5. Step 5: Solve for x
    x = 4,311,545.36/2,929.48
  6. Step 6: Final answer
    x = 1,471.78

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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.