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Finding the Fourth Proportional to 1,806.48, 2,709.56 and 1,225.22

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Solution

The fourth proportional to 1,806.48, 2,709.56 and 1,225.22 is: 1,837.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.48 : 2,709.56 = 1,225.22 : x
  2. Step 2: Convert to fraction form
    1,806.48/2,709.56 = 1,225.22/x
  3. Step 3: Cross multiply
    1,806.48x = 2,709.56 × 1,225.22
  4. Step 4: Simplify right side
    1,806.48x = 3,319,807.10
  5. Step 5: Solve for x
    x = 3,319,807.10/1,806.48
  6. Step 6: Final answer
    x = 1,837.72

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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.