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Finding the Fourth Proportional to 2,211.40, 3,050.99 and 1,254.21

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Solution

The fourth proportional to 2,211.40, 3,050.99 and 1,254.21 is: 1,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.40 : 3,050.99 = 1,254.21 : x
  2. Step 2: Convert to fraction form
    2,211.40/3,050.99 = 1,254.21/x
  3. Step 3: Cross multiply
    2,211.40x = 3,050.99 × 1,254.21
  4. Step 4: Simplify right side
    2,211.40x = 3,826,582.17
  5. Step 5: Solve for x
    x = 3,826,582.17/2,211.40
  6. Step 6: Final answer
    x = 1,730.39

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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.