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Finding the Fourth Proportional to 3,137.08, 4,703.70 and 1,187.20

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Solution

The fourth proportional to 3,137.08, 4,703.70 and 1,187.20 is: 1,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.08 : 4,703.70 = 1,187.20 : x
  2. Step 2: Convert to fraction form
    3,137.08/4,703.70 = 1,187.20/x
  3. Step 3: Cross multiply
    3,137.08x = 4,703.70 × 1,187.20
  4. Step 4: Simplify right side
    3,137.08x = 5,584,232.64
  5. Step 5: Solve for x
    x = 5,584,232.64/3,137.08
  6. Step 6: Final answer
    x = 1,780.07

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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.