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Finding the Fourth Proportional to 2,448.51, 3,378.96 and 1,386.33

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Solution

The fourth proportional to 2,448.51, 3,378.96 and 1,386.33 is: 1,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.51 : 3,378.96 = 1,386.33 : x
  2. Step 2: Convert to fraction form
    2,448.51/3,378.96 = 1,386.33/x
  3. Step 3: Cross multiply
    2,448.51x = 3,378.96 × 1,386.33
  4. Step 4: Simplify right side
    2,448.51x = 4,684,353.62
  5. Step 5: Solve for x
    x = 4,684,353.62/2,448.51
  6. Step 6: Final answer
    x = 1,913.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.