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Finding the Fourth Proportional to 2,670.72, 4,006.08 and 1,514.08

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Solution

The fourth proportional to 2,670.72, 4,006.08 and 1,514.08 is: 2,271.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.72 : 4,006.08 = 1,514.08 : x
  2. Step 2: Convert to fraction form
    2,670.72/4,006.08 = 1,514.08/x
  3. Step 3: Cross multiply
    2,670.72x = 4,006.08 × 1,514.08
  4. Step 4: Simplify right side
    2,670.72x = 6,065,525.61
  5. Step 5: Solve for x
    x = 6,065,525.61/2,670.72
  6. Step 6: Final answer
    x = 2,271.12

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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.