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Finding the Fourth Proportional to 2,894.52, 4,341.75 and 703.25

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Solution

The fourth proportional to 2,894.52, 4,341.75 and 703.25 is: 1,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.52 : 4,341.75 = 703.25 : x
  2. Step 2: Convert to fraction form
    2,894.52/4,341.75 = 703.25/x
  3. Step 3: Cross multiply
    2,894.52x = 4,341.75 × 703.25
  4. Step 4: Simplify right side
    2,894.52x = 3,053,313.98
  5. Step 5: Solve for x
    x = 3,053,313.98/2,894.52
  6. Step 6: Final answer
    x = 1,054.86

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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.