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Finding the Fourth Proportional to 3,066.59, 4,598.52 and 874.82

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Solution

The fourth proportional to 3,066.59, 4,598.52 and 874.82 is: 1,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.59 : 4,598.52 = 874.82 : x
  2. Step 2: Convert to fraction form
    3,066.59/4,598.52 = 874.82/x
  3. Step 3: Cross multiply
    3,066.59x = 4,598.52 × 874.82
  4. Step 4: Simplify right side
    3,066.59x = 4,022,854.27
  5. Step 5: Solve for x
    x = 4,022,854.27/3,066.59
  6. Step 6: Final answer
    x = 1,311.84

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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.