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Finding the Fourth Proportional to 1,811.40, 2,498.34 and 1,221

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Solution

The fourth proportional to 1,811.40, 2,498.34 and 1,221 is: 1,684.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.40 : 2,498.34 = 1,221 : x
  2. Step 2: Convert to fraction form
    1,811.40/2,498.34 = 1,221/x
  3. Step 3: Cross multiply
    1,811.40x = 2,498.34 × 1,221
  4. Step 4: Simplify right side
    1,811.40x = 3,050,473.14
  5. Step 5: Solve for x
    x = 3,050,473.14/1,811.40
  6. Step 6: Final answer
    x = 1,684.04

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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.