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Finding the Fourth Proportional to 2,212.90, 3,053.25 and 1,426

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Solution

The fourth proportional to 2,212.90, 3,053.25 and 1,426 is: 1,967.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,212.90 : 3,053.25 = 1,426 : x
  2. Step 2: Convert to fraction form
    2,212.90/3,053.25 = 1,426/x
  3. Step 3: Cross multiply
    2,212.90x = 3,053.25 × 1,426
  4. Step 4: Simplify right side
    2,212.90x = 4,353,934.50
  5. Step 5: Solve for x
    x = 4,353,934.50/2,212.90
  6. Step 6: Final answer
    x = 1,967.52

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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.