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Finding the Fourth Proportional to 3,178.83, 4,765.83 and 1,421.70

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Solution

The fourth proportional to 3,178.83, 4,765.83 and 1,421.70 is: 2,131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.83 : 4,765.83 = 1,421.70 : x
  2. Step 2: Convert to fraction form
    3,178.83/4,765.83 = 1,421.70/x
  3. Step 3: Cross multiply
    3,178.83x = 4,765.83 × 1,421.70
  4. Step 4: Simplify right side
    3,178.83x = 6,775,580.51
  5. Step 5: Solve for x
    x = 6,775,580.51/3,178.83
  6. Step 6: Final answer
    x = 2,131.47

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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.