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Finding the Fourth Proportional to 2,386.13, 3,292.86 and 1,454.63

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Solution

The fourth proportional to 2,386.13, 3,292.86 and 1,454.63 is: 2,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.13 : 3,292.86 = 1,454.63 : x
  2. Step 2: Convert to fraction form
    2,386.13/3,292.86 = 1,454.63/x
  3. Step 3: Cross multiply
    2,386.13x = 3,292.86 × 1,454.63
  4. Step 4: Simplify right side
    2,386.13x = 4,789,876.48
  5. Step 5: Solve for x
    x = 4,789,876.48/2,386.13
  6. Step 6: Final answer
    x = 2,007.39

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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.