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Finding the Fourth Proportional to 3,061.08, 4,591.77 and 869.98

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Solution

The fourth proportional to 3,061.08, 4,591.77 and 869.98 is: 1,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.08 : 4,591.77 = 869.98 : x
  2. Step 2: Convert to fraction form
    3,061.08/4,591.77 = 869.98/x
  3. Step 3: Cross multiply
    3,061.08x = 4,591.77 × 869.98
  4. Step 4: Simplify right side
    3,061.08x = 3,994,748.06
  5. Step 5: Solve for x
    x = 3,994,748.06/3,061.08
  6. Step 6: Final answer
    x = 1,305.01

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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.