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Finding the Fourth Proportional to 2,210.52, 3,050.54 and 1,215.82

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Solution

The fourth proportional to 2,210.52, 3,050.54 and 1,215.82 is: 1,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.52 : 3,050.54 = 1,215.82 : x
  2. Step 2: Convert to fraction form
    2,210.52/3,050.54 = 1,215.82/x
  3. Step 3: Cross multiply
    2,210.52x = 3,050.54 × 1,215.82
  4. Step 4: Simplify right side
    2,210.52x = 3,708,892.68
  5. Step 5: Solve for x
    x = 3,708,892.68/2,210.52
  6. Step 6: Final answer
    x = 1,677.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.