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Finding the Fourth Proportional to 2,075.79, 2,864.38 and 1,279.00

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Solution

The fourth proportional to 2,075.79, 2,864.38 and 1,279.00 is: 1,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.79 : 2,864.38 = 1,279.00 : x
  2. Step 2: Convert to fraction form
    2,075.79/2,864.38 = 1,279.00/x
  3. Step 3: Cross multiply
    2,075.79x = 2,864.38 × 1,279.00
  4. Step 4: Simplify right side
    2,075.79x = 3,663,528.69
  5. Step 5: Solve for x
    x = 3,663,528.69/2,075.79
  6. Step 6: Final answer
    x = 1,764.88

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Why These Related Problems?

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