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Finding the Fourth Proportional to 2,367.68, 3,548.64 and 1,069.76

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Solution

The fourth proportional to 2,367.68, 3,548.64 and 1,069.76 is: 1,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367.68 : 3,548.64 = 1,069.76 : x
  2. Step 2: Convert to fraction form
    2,367.68/3,548.64 = 1,069.76/x
  3. Step 3: Cross multiply
    2,367.68x = 3,548.64 × 1,069.76
  4. Step 4: Simplify right side
    2,367.68x = 3,796,193.13
  5. Step 5: Solve for x
    x = 3,796,193.13/2,367.68
  6. Step 6: Final answer
    x = 1,603.34

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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.