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Finding the Fourth Proportional to 1,908.16, 2,849.65 and 1,648.68

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Solution

The fourth proportional to 1,908.16, 2,849.65 and 1,648.68 is: 2,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.16 : 2,849.65 = 1,648.68 : x
  2. Step 2: Convert to fraction form
    1,908.16/2,849.65 = 1,648.68/x
  3. Step 3: Cross multiply
    1,908.16x = 2,849.65 × 1,648.68
  4. Step 4: Simplify right side
    1,908.16x = 4,698,160.96
  5. Step 5: Solve for x
    x = 4,698,160.96/1,908.16
  6. Step 6: Final answer
    x = 2,462.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.