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Finding the Fourth Proportional to 2,210.86, 3,050.96 and 1,202.56

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Solution

The fourth proportional to 2,210.86, 3,050.96 and 1,202.56 is: 1,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.86 : 3,050.96 = 1,202.56 : x
  2. Step 2: Convert to fraction form
    2,210.86/3,050.96 = 1,202.56/x
  3. Step 3: Cross multiply
    2,210.86x = 3,050.96 × 1,202.56
  4. Step 4: Simplify right side
    2,210.86x = 3,668,962.46
  5. Step 5: Solve for x
    x = 3,668,962.46/2,210.86
  6. Step 6: Final answer
    x = 1,659.52

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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.