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Finding the Fourth Proportional to 2,894.48, 4,346.62 and 2,746.52

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Solution

The fourth proportional to 2,894.48, 4,346.62 and 2,746.52 is: 4,124.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.48 : 4,346.62 = 2,746.52 : x
  2. Step 2: Convert to fraction form
    2,894.48/4,346.62 = 2,746.52/x
  3. Step 3: Cross multiply
    2,894.48x = 4,346.62 × 2,746.52
  4. Step 4: Simplify right side
    2,894.48x = 11,938,078.76
  5. Step 5: Solve for x
    x = 11,938,078.76/2,894.48
  6. Step 6: Final answer
    x = 4,124.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.