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Finding the Fourth Proportional to 2,784.61, 4,173.37 and 1,139.23

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Solution

The fourth proportional to 2,784.61, 4,173.37 and 1,139.23 is: 1,707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.61 : 4,173.37 = 1,139.23 : x
  2. Step 2: Convert to fraction form
    2,784.61/4,173.37 = 1,139.23/x
  3. Step 3: Cross multiply
    2,784.61x = 4,173.37 × 1,139.23
  4. Step 4: Simplify right side
    2,784.61x = 4,754,428.31
  5. Step 5: Solve for x
    x = 4,754,428.31/2,784.61
  6. Step 6: Final answer
    x = 1,707.39

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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.