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Finding the Fourth Proportional to 1,627.70, 2,275.90 and 1,627.70

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Solution

The fourth proportional to 1,627.70, 2,275.90 and 1,627.70 is: 2,275.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.70 : 2,275.90 = 1,627.70 : x
  2. Step 2: Convert to fraction form
    1,627.70/2,275.90 = 1,627.70/x
  3. Step 3: Cross multiply
    1,627.70x = 2,275.90 × 1,627.70
  4. Step 4: Simplify right side
    1,627.70x = 3,704,482.43
  5. Step 5: Solve for x
    x = 3,704,482.43/1,627.70
  6. Step 6: Final answer
    x = 2,275.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.