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Finding the Fourth Proportional to 2,160.06, 2,979.95 and 1,320.80

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Solution

The fourth proportional to 2,160.06, 2,979.95 and 1,320.80 is: 1,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.06 : 2,979.95 = 1,320.80 : x
  2. Step 2: Convert to fraction form
    2,160.06/2,979.95 = 1,320.80/x
  3. Step 3: Cross multiply
    2,160.06x = 2,979.95 × 1,320.80
  4. Step 4: Simplify right side
    2,160.06x = 3,935,911.36
  5. Step 5: Solve for x
    x = 3,935,911.36/2,160.06
  6. Step 6: Final answer
    x = 1,822.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.