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Finding the Fourth Proportional to 3,064.91, 4,598.03 and 873.65

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Solution

The fourth proportional to 3,064.91, 4,598.03 and 873.65 is: 1,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.91 : 4,598.03 = 873.65 : x
  2. Step 2: Convert to fraction form
    3,064.91/4,598.03 = 873.65/x
  3. Step 3: Cross multiply
    3,064.91x = 4,598.03 × 873.65
  4. Step 4: Simplify right side
    3,064.91x = 4,017,082.59
  5. Step 5: Solve for x
    x = 4,017,082.59/3,064.91
  6. Step 6: Final answer
    x = 1,310.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.