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Finding the Fourth Proportional to 2,038.82, 3,059.60 and 722.57

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Solution

The fourth proportional to 2,038.82, 3,059.60 and 722.57 is: 1,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.82 : 3,059.60 = 722.57 : x
  2. Step 2: Convert to fraction form
    2,038.82/3,059.60 = 722.57/x
  3. Step 3: Cross multiply
    2,038.82x = 3,059.60 × 722.57
  4. Step 4: Simplify right side
    2,038.82x = 2,210,780.25
  5. Step 5: Solve for x
    x = 2,210,780.25/2,038.82
  6. Step 6: Final answer
    x = 1,084.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.