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Finding the Fourth Proportional to 3,193.59, 4,784.62 and 1,341.39

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Solution

The fourth proportional to 3,193.59, 4,784.62 and 1,341.39 is: 2,009.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.59 : 4,784.62 = 1,341.39 : x
  2. Step 2: Convert to fraction form
    3,193.59/4,784.62 = 1,341.39/x
  3. Step 3: Cross multiply
    3,193.59x = 4,784.62 × 1,341.39
  4. Step 4: Simplify right side
    3,193.59x = 6,418,041.42
  5. Step 5: Solve for x
    x = 6,418,041.42/3,193.59
  6. Step 6: Final answer
    x = 2,009.66

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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.