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Finding the Fourth Proportional to 3,010, 4,514.98 and 1,366.52

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Solution

The fourth proportional to 3,010, 4,514.98 and 1,366.52 is: 2,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010 : 4,514.98 = 1,366.52 : x
  2. Step 2: Convert to fraction form
    3,010/4,514.98 = 1,366.52/x
  3. Step 3: Cross multiply
    3,010x = 4,514.98 × 1,366.52
  4. Step 4: Simplify right side
    3,010x = 6,169,810.47
  5. Step 5: Solve for x
    x = 6,169,810.47/3,010
  6. Step 6: Final answer
    x = 2,049.77

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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.