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Finding the Fourth Proportional to 3,108.68, 4,661.40 and 1,159.84

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Solution

The fourth proportional to 3,108.68, 4,661.40 and 1,159.84 is: 1,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.68 : 4,661.40 = 1,159.84 : x
  2. Step 2: Convert to fraction form
    3,108.68/4,661.40 = 1,159.84/x
  3. Step 3: Cross multiply
    3,108.68x = 4,661.40 × 1,159.84
  4. Step 4: Simplify right side
    3,108.68x = 5,406,478.18
  5. Step 5: Solve for x
    x = 5,406,478.18/3,108.68
  6. Step 6: Final answer
    x = 1,739.16

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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.