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Finding the Fourth Proportional to 2,201.60, 3,302.40 and 558.13

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Solution

The fourth proportional to 2,201.60, 3,302.40 and 558.13 is: 837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.60 : 3,302.40 = 558.13 : x
  2. Step 2: Convert to fraction form
    2,201.60/3,302.40 = 558.13/x
  3. Step 3: Cross multiply
    2,201.60x = 3,302.40 × 558.13
  4. Step 4: Simplify right side
    2,201.60x = 1,843,168.51
  5. Step 5: Solve for x
    x = 1,843,168.51/2,201.60
  6. Step 6: Final answer
    x = 837.20

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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.