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Finding the Fourth Proportional to 1,514.87, 2,089.41 and 1,141.87

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Solution

The fourth proportional to 1,514.87, 2,089.41 and 1,141.87 is: 1,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.87 : 2,089.41 = 1,141.87 : x
  2. Step 2: Convert to fraction form
    1,514.87/2,089.41 = 1,141.87/x
  3. Step 3: Cross multiply
    1,514.87x = 2,089.41 × 1,141.87
  4. Step 4: Simplify right side
    1,514.87x = 2,385,825.09
  5. Step 5: Solve for x
    x = 2,385,825.09/1,514.87
  6. Step 6: Final answer
    x = 1,574.93

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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.