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Finding the Fourth Proportional to 2,203.35, 3,038.36 and 1,539.96

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Solution

The fourth proportional to 2,203.35, 3,038.36 and 1,539.96 is: 2,123.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.35 : 3,038.36 = 1,539.96 : x
  2. Step 2: Convert to fraction form
    2,203.35/3,038.36 = 1,539.96/x
  3. Step 3: Cross multiply
    2,203.35x = 3,038.36 × 1,539.96
  4. Step 4: Simplify right side
    2,203.35x = 4,678,945.17
  5. Step 5: Solve for x
    x = 4,678,945.17/2,203.35
  6. Step 6: Final answer
    x = 2,123.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.