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Finding the Fourth Proportional to 1,751.28, 2,627.46 and 1,264.50

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Solution

The fourth proportional to 1,751.28, 2,627.46 and 1,264.50 is: 1,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.28 : 2,627.46 = 1,264.50 : x
  2. Step 2: Convert to fraction form
    1,751.28/2,627.46 = 1,264.50/x
  3. Step 3: Cross multiply
    1,751.28x = 2,627.46 × 1,264.50
  4. Step 4: Simplify right side
    1,751.28x = 3,322,423.17
  5. Step 5: Solve for x
    x = 3,322,423.17/1,751.28
  6. Step 6: Final answer
    x = 1,897.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.