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Finding the Fourth Proportional to 1,630, 2,249.52 and 1,009.36

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Solution

The fourth proportional to 1,630, 2,249.52 and 1,009.36 is: 1,392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630 : 2,249.52 = 1,009.36 : x
  2. Step 2: Convert to fraction form
    1,630/2,249.52 = 1,009.36/x
  3. Step 3: Cross multiply
    1,630x = 2,249.52 × 1,009.36
  4. Step 4: Simplify right side
    1,630x = 2,270,575.51
  5. Step 5: Solve for x
    x = 2,270,575.51/1,630
  6. Step 6: Final answer
    x = 1,392.99

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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.