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Finding the Fourth Proportional to 4,468.64, 6,701.94 and 1,695.62

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Solution

The fourth proportional to 4,468.64, 6,701.94 and 1,695.62 is: 2,543.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,468.64 : 6,701.94 = 1,695.62 : x
  2. Step 2: Convert to fraction form
    4,468.64/6,701.94 = 1,695.62/x
  3. Step 3: Cross multiply
    4,468.64x = 6,701.94 × 1,695.62
  4. Step 4: Simplify right side
    4,468.64x = 11,363,943.50
  5. Step 5: Solve for x
    x = 11,363,943.50/4,468.64
  6. Step 6: Final answer
    x = 2,543.04

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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.