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Finding the Fourth Proportional to 2,203.33, 3,038.11 and 1,405.59

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Solution

The fourth proportional to 2,203.33, 3,038.11 and 1,405.59 is: 1,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.33 : 3,038.11 = 1,405.59 : x
  2. Step 2: Convert to fraction form
    2,203.33/3,038.11 = 1,405.59/x
  3. Step 3: Cross multiply
    2,203.33x = 3,038.11 × 1,405.59
  4. Step 4: Simplify right side
    2,203.33x = 4,270,337.03
  5. Step 5: Solve for x
    x = 4,270,337.03/2,203.33
  6. Step 6: Final answer
    x = 1,938.13

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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.