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Finding the Fourth Proportional to 1,752.71, 2,628.25 and 1,022.49

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Solution

The fourth proportional to 1,752.71, 2,628.25 and 1,022.49 is: 1,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.71 : 2,628.25 = 1,022.49 : x
  2. Step 2: Convert to fraction form
    1,752.71/2,628.25 = 1,022.49/x
  3. Step 3: Cross multiply
    1,752.71x = 2,628.25 × 1,022.49
  4. Step 4: Simplify right side
    1,752.71x = 2,687,356.79
  5. Step 5: Solve for x
    x = 2,687,356.79/1,752.71
  6. Step 6: Final answer
    x = 1,533.26

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1.5x scale

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.