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Finding the Fourth Proportional to 2,780.73, 4,153.01 and 2,407.73

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Solution

The fourth proportional to 2,780.73, 4,153.01 and 2,407.73 is: 3,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.73 : 4,153.01 = 2,407.73 : x
  2. Step 2: Convert to fraction form
    2,780.73/4,153.01 = 2,407.73/x
  3. Step 3: Cross multiply
    2,780.73x = 4,153.01 × 2,407.73
  4. Step 4: Simplify right side
    2,780.73x = 9,999,293.96
  5. Step 5: Solve for x
    x = 9,999,293.96/2,780.73
  6. Step 6: Final answer
    x = 3,595.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.