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Finding the Fourth Proportional to 1,514.08, 2,271.03 and 540.19

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Solution

The fourth proportional to 1,514.08, 2,271.03 and 540.19 is: 810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.08 : 2,271.03 = 540.19 : x
  2. Step 2: Convert to fraction form
    1,514.08/2,271.03 = 540.19/x
  3. Step 3: Cross multiply
    1,514.08x = 2,271.03 × 540.19
  4. Step 4: Simplify right side
    1,514.08x = 1,226,787.70
  5. Step 5: Solve for x
    x = 1,226,787.70/1,514.08
  6. Step 6: Final answer
    x = 810.25

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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.