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Finding the Fourth Proportional to 1,486.52, 2,051.40 and 814.33

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Solution

The fourth proportional to 1,486.52, 2,051.40 and 814.33 is: 1,123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.52 : 2,051.40 = 814.33 : x
  2. Step 2: Convert to fraction form
    1,486.52/2,051.40 = 814.33/x
  3. Step 3: Cross multiply
    1,486.52x = 2,051.40 × 814.33
  4. Step 4: Simplify right side
    1,486.52x = 1,670,514.12
  5. Step 5: Solve for x
    x = 1,670,514.12/1,486.52
  6. Step 6: Final answer
    x = 1,123.77

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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.