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Finding the Fourth Proportional to 1,321.06, 1,981.42 and 347.13

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Solution

The fourth proportional to 1,321.06, 1,981.42 and 347.13 is: 520.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.06 : 1,981.42 = 347.13 : x
  2. Step 2: Convert to fraction form
    1,321.06/1,981.42 = 347.13/x
  3. Step 3: Cross multiply
    1,321.06x = 1,981.42 × 347.13
  4. Step 4: Simplify right side
    1,321.06x = 687,810.32
  5. Step 5: Solve for x
    x = 687,810.32/1,321.06
  6. Step 6: Final answer
    x = 520.65

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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.