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Finding the Fourth Proportional to 1,309.26, 1,803.26 and 1,210.72

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Solution

The fourth proportional to 1,309.26, 1,803.26 and 1,210.72 is: 1,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.26 : 1,803.26 = 1,210.72 : x
  2. Step 2: Convert to fraction form
    1,309.26/1,803.26 = 1,210.72/x
  3. Step 3: Cross multiply
    1,309.26x = 1,803.26 × 1,210.72
  4. Step 4: Simplify right side
    1,309.26x = 2,183,242.95
  5. Step 5: Solve for x
    x = 2,183,242.95/1,309.26
  6. Step 6: Final answer
    x = 1,667.54

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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.