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Finding the Fourth Proportional to 3,065.80, 4,598.85 and 1,607.80

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Solution

The fourth proportional to 3,065.80, 4,598.85 and 1,607.80 is: 2,411.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,065.80 : 4,598.85 = 1,607.80 : x
  2. Step 2: Convert to fraction form
    3,065.80/4,598.85 = 1,607.80/x
  3. Step 3: Cross multiply
    3,065.80x = 4,598.85 × 1,607.80
  4. Step 4: Simplify right side
    3,065.80x = 7,394,031.03
  5. Step 5: Solve for x
    x = 7,394,031.03/3,065.80
  6. Step 6: Final answer
    x = 2,411.78

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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.