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Finding the Fourth Proportional to 2,784.48, 4,173.12 and 1,139.13

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Solution

The fourth proportional to 2,784.48, 4,173.12 and 1,139.13 is: 1,707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.48 : 4,173.12 = 1,139.13 : x
  2. Step 2: Convert to fraction form
    2,784.48/4,173.12 = 1,139.13/x
  3. Step 3: Cross multiply
    2,784.48x = 4,173.12 × 1,139.13
  4. Step 4: Simplify right side
    2,784.48x = 4,753,726.19
  5. Step 5: Solve for x
    x = 4,753,726.19/2,784.48
  6. Step 6: Final answer
    x = 1,707.22

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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.