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Finding the Fourth Proportional to 2,689.46, 4,035 and 840.77

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Solution

The fourth proportional to 2,689.46, 4,035 and 840.77 is: 1,261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.46 : 4,035 = 840.77 : x
  2. Step 2: Convert to fraction form
    2,689.46/4,035 = 840.77/x
  3. Step 3: Cross multiply
    2,689.46x = 4,035 × 840.77
  4. Step 4: Simplify right side
    2,689.46x = 3,392,506.95
  5. Step 5: Solve for x
    x = 3,392,506.95/2,689.46
  6. Step 6: Final answer
    x = 1,261.41

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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.