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Finding the Fourth Proportional to 4,294, 6,441 and 1,698.76

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Solution

The fourth proportional to 4,294, 6,441 and 1,698.76 is: 2,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294 : 6,441 = 1,698.76 : x
  2. Step 2: Convert to fraction form
    4,294/6,441 = 1,698.76/x
  3. Step 3: Cross multiply
    4,294x = 6,441 × 1,698.76
  4. Step 4: Simplify right side
    4,294x = 10,941,713.16
  5. Step 5: Solve for x
    x = 10,941,713.16/4,294
  6. Step 6: Final answer
    x = 2,548.14

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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.