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Finding the Fourth Proportional to 2,784.95, 4,177.93 and 1,399.24

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Solution

The fourth proportional to 2,784.95, 4,177.93 and 1,399.24 is: 2,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.95 : 4,177.93 = 1,399.24 : x
  2. Step 2: Convert to fraction form
    2,784.95/4,177.93 = 1,399.24/x
  3. Step 3: Cross multiply
    2,784.95x = 4,177.93 × 1,399.24
  4. Step 4: Simplify right side
    2,784.95x = 5,845,926.77
  5. Step 5: Solve for x
    x = 5,845,926.77/2,784.95
  6. Step 6: Final answer
    x = 2,099.11

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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.