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Finding the Fourth Proportional to 2,221, 3,065.34 and 1,290.04

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Solution

The fourth proportional to 2,221, 3,065.34 and 1,290.04 is: 1,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221 : 3,065.34 = 1,290.04 : x
  2. Step 2: Convert to fraction form
    2,221/3,065.34 = 1,290.04/x
  3. Step 3: Cross multiply
    2,221x = 3,065.34 × 1,290.04
  4. Step 4: Simplify right side
    2,221x = 3,954,411.21
  5. Step 5: Solve for x
    x = 3,954,411.21/2,221
  6. Step 6: Final answer
    x = 1,780.46

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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.