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Finding the Fourth Proportional to 2,386.96, 3,292.63 and 1,392.13

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Solution

The fourth proportional to 2,386.96, 3,292.63 and 1,392.13 is: 1,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.96 : 3,292.63 = 1,392.13 : x
  2. Step 2: Convert to fraction form
    2,386.96/3,292.63 = 1,392.13/x
  3. Step 3: Cross multiply
    2,386.96x = 3,292.63 × 1,392.13
  4. Step 4: Simplify right side
    2,386.96x = 4,583,769.00
  5. Step 5: Solve for x
    x = 4,583,769.00/2,386.96
  6. Step 6: Final answer
    x = 1,920.34

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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.