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Finding the Fourth Proportional to 2,170.08, 2,994.53 and 1,225.82

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Solution

The fourth proportional to 2,170.08, 2,994.53 and 1,225.82 is: 1,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.08 : 2,994.53 = 1,225.82 : x
  2. Step 2: Convert to fraction form
    2,170.08/2,994.53 = 1,225.82/x
  3. Step 3: Cross multiply
    2,170.08x = 2,994.53 × 1,225.82
  4. Step 4: Simplify right side
    2,170.08x = 3,670,754.76
  5. Step 5: Solve for x
    x = 3,670,754.76/2,170.08
  6. Step 6: Final answer
    x = 1,691.53

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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.