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Finding the Fourth Proportional to 1,807.98, 2,710.71 and 1,028.49

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Solution

The fourth proportional to 1,807.98, 2,710.71 and 1,028.49 is: 1,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.98 : 2,710.71 = 1,028.49 : x
  2. Step 2: Convert to fraction form
    1,807.98/2,710.71 = 1,028.49/x
  3. Step 3: Cross multiply
    1,807.98x = 2,710.71 × 1,028.49
  4. Step 4: Simplify right side
    1,807.98x = 2,787,938.13
  5. Step 5: Solve for x
    x = 2,787,938.13/1,807.98
  6. Step 6: Final answer
    x = 1,542.02

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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.