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Finding the Fourth Proportional to 2,115.39, 3,173.37 and 654.18

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Solution

The fourth proportional to 2,115.39, 3,173.37 and 654.18 is: 981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.39 : 3,173.37 = 654.18 : x
  2. Step 2: Convert to fraction form
    2,115.39/3,173.37 = 654.18/x
  3. Step 3: Cross multiply
    2,115.39x = 3,173.37 × 654.18
  4. Step 4: Simplify right side
    2,115.39x = 2,075,955.19
  5. Step 5: Solve for x
    x = 2,075,955.19/2,115.39
  6. Step 6: Final answer
    x = 981.36

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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.