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Finding the Fourth Proportional to 2,009.66, 3,014.51 and 1,320.66

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Solution

The fourth proportional to 2,009.66, 3,014.51 and 1,320.66 is: 1,981.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.66 : 3,014.51 = 1,320.66 : x
  2. Step 2: Convert to fraction form
    2,009.66/3,014.51 = 1,320.66/x
  3. Step 3: Cross multiply
    2,009.66x = 3,014.51 × 1,320.66
  4. Step 4: Simplify right side
    2,009.66x = 3,981,136.17
  5. Step 5: Solve for x
    x = 3,981,136.17/2,009.66
  6. Step 6: Final answer
    x = 1,981.00

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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.