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Finding the Fourth Proportional to 2,894.54, 4,341.79 and 703.28

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Solution

The fourth proportional to 2,894.54, 4,341.79 and 703.28 is: 1,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.54 : 4,341.79 = 703.28 : x
  2. Step 2: Convert to fraction form
    2,894.54/4,341.79 = 703.28/x
  3. Step 3: Cross multiply
    2,894.54x = 4,341.79 × 703.28
  4. Step 4: Simplify right side
    2,894.54x = 3,053,494.07
  5. Step 5: Solve for x
    x = 3,053,494.07/2,894.54
  6. Step 6: Final answer
    x = 1,054.92

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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.