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Finding the Fourth Proportional to 1,831.87, 2,748.13 and 599.30

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Solution

The fourth proportional to 1,831.87, 2,748.13 and 599.30 is: 899.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.87 : 2,748.13 = 599.30 : x
  2. Step 2: Convert to fraction form
    1,831.87/2,748.13 = 599.30/x
  3. Step 3: Cross multiply
    1,831.87x = 2,748.13 × 599.30
  4. Step 4: Simplify right side
    1,831.87x = 1,646,949.38
  5. Step 5: Solve for x
    x = 1,646,949.38/1,831.87
  6. Step 6: Final answer
    x = 899.06

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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.