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Finding the Fourth Proportional to 4,293, 6,442.54 and 1,695.94

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Solution

The fourth proportional to 4,293, 6,442.54 and 1,695.94 is: 2,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293 : 6,442.54 = 1,695.94 : x
  2. Step 2: Convert to fraction form
    4,293/6,442.54 = 1,695.94/x
  3. Step 3: Cross multiply
    4,293x = 6,442.54 × 1,695.94
  4. Step 4: Simplify right side
    4,293x = 10,926,140.94
  5. Step 5: Solve for x
    x = 10,926,140.94/4,293
  6. Step 6: Final answer
    x = 2,545.11

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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.