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Finding the Fourth Proportional to 2,075.22, 2,865.78 and 1,377

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Solution

The fourth proportional to 2,075.22, 2,865.78 and 1,377 is: 1,901.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.22 : 2,865.78 = 1,377 : x
  2. Step 2: Convert to fraction form
    2,075.22/2,865.78 = 1,377/x
  3. Step 3: Cross multiply
    2,075.22x = 2,865.78 × 1,377
  4. Step 4: Simplify right side
    2,075.22x = 3,946,179.06
  5. Step 5: Solve for x
    x = 3,946,179.06/2,075.22
  6. Step 6: Final answer
    x = 1,901.57

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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.