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Finding the Fourth Proportional to 2,284.74, 3,427.10 and 553.37

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Solution

The fourth proportional to 2,284.74, 3,427.10 and 553.37 is: 830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.74 : 3,427.10 = 553.37 : x
  2. Step 2: Convert to fraction form
    2,284.74/3,427.10 = 553.37/x
  3. Step 3: Cross multiply
    2,284.74x = 3,427.10 × 553.37
  4. Step 4: Simplify right side
    2,284.74x = 1,896,435.81
  5. Step 5: Solve for x
    x = 1,896,435.81/2,284.74
  6. Step 6: Final answer
    x = 830.04

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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.