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Finding the Fourth Proportional to 1,212.30, 1,752.98 and 1,212.30

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Solution

The fourth proportional to 1,212.30, 1,752.98 and 1,212.30 is: 1,752.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.30 : 1,752.98 = 1,212.30 : x
  2. Step 2: Convert to fraction form
    1,212.30/1,752.98 = 1,212.30/x
  3. Step 3: Cross multiply
    1,212.30x = 1,752.98 × 1,212.30
  4. Step 4: Simplify right side
    1,212.30x = 2,125,131.59
  5. Step 5: Solve for x
    x = 2,125,131.59/1,212.30
  6. Step 6: Final answer
    x = 1,752.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.