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Finding the Fourth Proportional to 2,894.77, 4,342.15 and 703.48

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Solution

The fourth proportional to 2,894.77, 4,342.15 and 703.48 is: 1,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.77 : 4,342.15 = 703.48 : x
  2. Step 2: Convert to fraction form
    2,894.77/4,342.15 = 703.48/x
  3. Step 3: Cross multiply
    2,894.77x = 4,342.15 × 703.48
  4. Step 4: Simplify right side
    2,894.77x = 3,054,620.94
  5. Step 5: Solve for x
    x = 3,054,620.94/2,894.77
  6. Step 6: Final answer
    x = 1,055.22

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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.