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Finding the Fourth Proportional to 3,354.99, 5,030.19 and 1,598.65

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Solution

The fourth proportional to 3,354.99, 5,030.19 and 1,598.65 is: 2,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.99 : 5,030.19 = 1,598.65 : x
  2. Step 2: Convert to fraction form
    3,354.99/5,030.19 = 1,598.65/x
  3. Step 3: Cross multiply
    3,354.99x = 5,030.19 × 1,598.65
  4. Step 4: Simplify right side
    3,354.99x = 8,041,484.52
  5. Step 5: Solve for x
    x = 8,041,484.52/3,354.99
  6. Step 6: Final answer
    x = 2,396.87

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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.