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Finding the Fourth Proportional to 2,894, 4,341.24 and 842

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Solution

The fourth proportional to 2,894, 4,341.24 and 842 is: 1,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894 : 4,341.24 = 842 : x
  2. Step 2: Convert to fraction form
    2,894/4,341.24 = 842/x
  3. Step 3: Cross multiply
    2,894x = 4,341.24 × 842
  4. Step 4: Simplify right side
    2,894x = 3,655,324.08
  5. Step 5: Solve for x
    x = 3,655,324.08/2,894
  6. Step 6: Final answer
    x = 1,263.07

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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.