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Finding the Fourth Proportional to 1,405.65, 2,099.34 and 1,321.82

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Solution

The fourth proportional to 1,405.65, 2,099.34 and 1,321.82 is: 1,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.65 : 2,099.34 = 1,321.82 : x
  2. Step 2: Convert to fraction form
    1,405.65/2,099.34 = 1,321.82/x
  3. Step 3: Cross multiply
    1,405.65x = 2,099.34 × 1,321.82
  4. Step 4: Simplify right side
    1,405.65x = 2,774,939.10
  5. Step 5: Solve for x
    x = 2,774,939.10/1,405.65
  6. Step 6: Final answer
    x = 1,974.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.