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Finding the Fourth Proportional to 3,154.42, 4,731.02 and 1,206.16

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Solution

The fourth proportional to 3,154.42, 4,731.02 and 1,206.16 is: 1,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.42 : 4,731.02 = 1,206.16 : x
  2. Step 2: Convert to fraction form
    3,154.42/4,731.02 = 1,206.16/x
  3. Step 3: Cross multiply
    3,154.42x = 4,731.02 × 1,206.16
  4. Step 4: Simplify right side
    3,154.42x = 5,706,367.08
  5. Step 5: Solve for x
    x = 5,706,367.08/3,154.42
  6. Step 6: Final answer
    x = 1,809.01

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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.