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Finding the Fourth Proportional to 3,106.98, 4,660.74 and 1,133.10

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Solution

The fourth proportional to 3,106.98, 4,660.74 and 1,133.10 is: 1,699.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.98 : 4,660.74 = 1,133.10 : x
  2. Step 2: Convert to fraction form
    3,106.98/4,660.74 = 1,133.10/x
  3. Step 3: Cross multiply
    3,106.98x = 4,660.74 × 1,133.10
  4. Step 4: Simplify right side
    3,106.98x = 5,281,084.49
  5. Step 5: Solve for x
    x = 5,281,084.49/3,106.98
  6. Step 6: Final answer
    x = 1,699.75

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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.