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Finding the Fourth Proportional to 2,453.65, 3,386.13 and 1,405.91

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Solution

The fourth proportional to 2,453.65, 3,386.13 and 1,405.91 is: 1,940.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.65 : 3,386.13 = 1,405.91 : x
  2. Step 2: Convert to fraction form
    2,453.65/3,386.13 = 1,405.91/x
  3. Step 3: Cross multiply
    2,453.65x = 3,386.13 × 1,405.91
  4. Step 4: Simplify right side
    2,453.65x = 4,760,599.70
  5. Step 5: Solve for x
    x = 4,760,599.70/2,453.65
  6. Step 6: Final answer
    x = 1,940.21

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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.