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Finding the Fourth Proportional to 2,114.82, 3,173.14 and 1,139.78

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Solution

The fourth proportional to 2,114.82, 3,173.14 and 1,139.78 is: 1,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.82 : 3,173.14 = 1,139.78 : x
  2. Step 2: Convert to fraction form
    2,114.82/3,173.14 = 1,139.78/x
  3. Step 3: Cross multiply
    2,114.82x = 3,173.14 × 1,139.78
  4. Step 4: Simplify right side
    2,114.82x = 3,616,681.51
  5. Step 5: Solve for x
    x = 3,616,681.51/2,114.82
  6. Step 6: Final answer
    x = 1,710.16

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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.