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Finding the Fourth Proportional to 4,196.64, 6,294.93 and 1,118.64

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Solution

The fourth proportional to 4,196.64, 6,294.93 and 1,118.64 is: 1,677.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.64 : 6,294.93 = 1,118.64 : x
  2. Step 2: Convert to fraction form
    4,196.64/6,294.93 = 1,118.64/x
  3. Step 3: Cross multiply
    4,196.64x = 6,294.93 × 1,118.64
  4. Step 4: Simplify right side
    4,196.64x = 7,041,760.50
  5. Step 5: Solve for x
    x = 7,041,760.50/4,196.64
  6. Step 6: Final answer
    x = 1,677.95

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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.