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Finding the Fourth Proportional to 1,468.05, 2,026.11 and 908.70

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Solution

The fourth proportional to 1,468.05, 2,026.11 and 908.70 is: 1,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.05 : 2,026.11 = 908.70 : x
  2. Step 2: Convert to fraction form
    1,468.05/2,026.11 = 908.70/x
  3. Step 3: Cross multiply
    1,468.05x = 2,026.11 × 908.70
  4. Step 4: Simplify right side
    1,468.05x = 1,841,126.16
  5. Step 5: Solve for x
    x = 1,841,126.16/1,468.05
  6. Step 6: Final answer
    x = 1,254.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.