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Finding the Fourth Proportional to 1,309.61, 1,803.53 and 1,226.20

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Solution

The fourth proportional to 1,309.61, 1,803.53 and 1,226.20 is: 1,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.61 : 1,803.53 = 1,226.20 : x
  2. Step 2: Convert to fraction form
    1,309.61/1,803.53 = 1,226.20/x
  3. Step 3: Cross multiply
    1,309.61x = 1,803.53 × 1,226.20
  4. Step 4: Simplify right side
    1,309.61x = 2,211,488.49
  5. Step 5: Solve for x
    x = 2,211,488.49/1,309.61
  6. Step 6: Final answer
    x = 1,688.66

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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.