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Finding the Fourth Proportional to 2,038.44, 2,809.02 and 1,447.95

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Solution

The fourth proportional to 2,038.44, 2,809.02 and 1,447.95 is: 1,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.44 : 2,809.02 = 1,447.95 : x
  2. Step 2: Convert to fraction form
    2,038.44/2,809.02 = 1,447.95/x
  3. Step 3: Cross multiply
    2,038.44x = 2,809.02 × 1,447.95
  4. Step 4: Simplify right side
    2,038.44x = 4,067,320.51
  5. Step 5: Solve for x
    x = 4,067,320.51/2,038.44
  6. Step 6: Final answer
    x = 1,995.31

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1.5x scale

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.