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Finding the Fourth Proportional to 2,418, 3,336.84 and 1,370.16

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Solution

The fourth proportional to 2,418, 3,336.84 and 1,370.16 is: 1,890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418 : 3,336.84 = 1,370.16 : x
  2. Step 2: Convert to fraction form
    2,418/3,336.84 = 1,370.16/x
  3. Step 3: Cross multiply
    2,418x = 3,336.84 × 1,370.16
  4. Step 4: Simplify right side
    2,418x = 4,572,004.69
  5. Step 5: Solve for x
    x = 4,572,004.69/2,418
  6. Step 6: Final answer
    x = 1,890.82

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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.