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Finding the Fourth Proportional to 2,225.71, 3,341.15 and 1,301.94

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Solution

The fourth proportional to 2,225.71, 3,341.15 and 1,301.94 is: 1,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,225.71 : 3,341.15 = 1,301.94 : x
  2. Step 2: Convert to fraction form
    2,225.71/3,341.15 = 1,301.94/x
  3. Step 3: Cross multiply
    2,225.71x = 3,341.15 × 1,301.94
  4. Step 4: Simplify right side
    2,225.71x = 4,349,975.20
  5. Step 5: Solve for x
    x = 4,349,975.20/2,225.71
  6. Step 6: Final answer
    x = 1,954.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.