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Finding the Fourth Proportional to 3,106.91, 4,661.17 and 1,159.13

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Solution

The fourth proportional to 3,106.91, 4,661.17 and 1,159.13 is: 1,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.91 : 4,661.17 = 1,159.13 : x
  2. Step 2: Convert to fraction form
    3,106.91/4,661.17 = 1,159.13/x
  3. Step 3: Cross multiply
    3,106.91x = 4,661.17 × 1,159.13
  4. Step 4: Simplify right side
    3,106.91x = 5,402,875.78
  5. Step 5: Solve for x
    x = 5,402,875.78/3,106.91
  6. Step 6: Final answer
    x = 1,738.99

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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.