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Finding the Fourth Proportional to 3,133.70, 4,698.72 and 1,186.05

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Solution

The fourth proportional to 3,133.70, 4,698.72 and 1,186.05 is: 1,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.70 : 4,698.72 = 1,186.05 : x
  2. Step 2: Convert to fraction form
    3,133.70/4,698.72 = 1,186.05/x
  3. Step 3: Cross multiply
    3,133.70x = 4,698.72 × 1,186.05
  4. Step 4: Simplify right side
    3,133.70x = 5,572,916.86
  5. Step 5: Solve for x
    x = 5,572,916.86/3,133.70
  6. Step 6: Final answer
    x = 1,778.39

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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.