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Finding the Fourth Proportional to 1,486.24, 2,226.90 and 1,051.24

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Solution

The fourth proportional to 1,486.24, 2,226.90 and 1,051.24 is: 1,575.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.24 : 2,226.90 = 1,051.24 : x
  2. Step 2: Convert to fraction form
    1,486.24/2,226.90 = 1,051.24/x
  3. Step 3: Cross multiply
    1,486.24x = 2,226.90 × 1,051.24
  4. Step 4: Simplify right side
    1,486.24x = 2,341,006.36
  5. Step 5: Solve for x
    x = 2,341,006.36/1,486.24
  6. Step 6: Final answer
    x = 1,575.12

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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.