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Finding the Fourth Proportional to 3,013.65, 4,519.89 and 1,065.87

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Solution

The fourth proportional to 3,013.65, 4,519.89 and 1,065.87 is: 1,598.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.65 : 4,519.89 = 1,065.87 : x
  2. Step 2: Convert to fraction form
    3,013.65/4,519.89 = 1,065.87/x
  3. Step 3: Cross multiply
    3,013.65x = 4,519.89 × 1,065.87
  4. Step 4: Simplify right side
    3,013.65x = 4,817,615.15
  5. Step 5: Solve for x
    x = 4,817,615.15/3,013.65
  6. Step 6: Final answer
    x = 1,598.60

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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.