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Finding the Fourth Proportional to 2,551.96, 3,828.48 and 909.01

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Solution

The fourth proportional to 2,551.96, 3,828.48 and 909.01 is: 1,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.96 : 3,828.48 = 909.01 : x
  2. Step 2: Convert to fraction form
    2,551.96/3,828.48 = 909.01/x
  3. Step 3: Cross multiply
    2,551.96x = 3,828.48 × 909.01
  4. Step 4: Simplify right side
    2,551.96x = 3,480,126.60
  5. Step 5: Solve for x
    x = 3,480,126.60/2,551.96
  6. Step 6: Final answer
    x = 1,363.71

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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.