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Finding the Fourth Proportional to 1,838.64, 2,757.98 and 606.14

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Solution

The fourth proportional to 1,838.64, 2,757.98 and 606.14 is: 909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.64 : 2,757.98 = 606.14 : x
  2. Step 2: Convert to fraction form
    1,838.64/2,757.98 = 606.14/x
  3. Step 3: Cross multiply
    1,838.64x = 2,757.98 × 606.14
  4. Step 4: Simplify right side
    1,838.64x = 1,671,705.18
  5. Step 5: Solve for x
    x = 1,671,705.18/1,838.64
  6. Step 6: Final answer
    x = 909.21

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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.