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Finding the Fourth Proportional to 2,226.34, 3,069.52 and 1,470

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Solution

The fourth proportional to 2,226.34, 3,069.52 and 1,470 is: 2,026.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.34 : 3,069.52 = 1,470 : x
  2. Step 2: Convert to fraction form
    2,226.34/3,069.52 = 1,470/x
  3. Step 3: Cross multiply
    2,226.34x = 3,069.52 × 1,470
  4. Step 4: Simplify right side
    2,226.34x = 4,512,194.40
  5. Step 5: Solve for x
    x = 4,512,194.40/2,226.34
  6. Step 6: Final answer
    x = 2,026.73

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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.