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Finding the Fourth Proportional to 2,101.51, 3,152.67 and 1,234

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Solution

The fourth proportional to 2,101.51, 3,152.67 and 1,234 is: 1,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.51 : 3,152.67 = 1,234 : x
  2. Step 2: Convert to fraction form
    2,101.51/3,152.67 = 1,234/x
  3. Step 3: Cross multiply
    2,101.51x = 3,152.67 × 1,234
  4. Step 4: Simplify right side
    2,101.51x = 3,890,394.78
  5. Step 5: Solve for x
    x = 3,890,394.78/2,101.51
  6. Step 6: Final answer
    x = 1,851.24

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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.