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Finding the Fourth Proportional to 2,228.68, 3,075.18 and 1,297

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Solution

The fourth proportional to 2,228.68, 3,075.18 and 1,297 is: 1,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.68 : 3,075.18 = 1,297 : x
  2. Step 2: Convert to fraction form
    2,228.68/3,075.18 = 1,297/x
  3. Step 3: Cross multiply
    2,228.68x = 3,075.18 × 1,297
  4. Step 4: Simplify right side
    2,228.68x = 3,988,508.46
  5. Step 5: Solve for x
    x = 3,988,508.46/2,228.68
  6. Step 6: Final answer
    x = 1,789.63

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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.