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Finding the Fourth Proportional to 1,831.44, 2,745.22 and 598.52

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Solution

The fourth proportional to 1,831.44, 2,745.22 and 598.52 is: 897.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.44 : 2,745.22 = 598.52 : x
  2. Step 2: Convert to fraction form
    1,831.44/2,745.22 = 598.52/x
  3. Step 3: Cross multiply
    1,831.44x = 2,745.22 × 598.52
  4. Step 4: Simplify right side
    1,831.44x = 1,643,069.07
  5. Step 5: Solve for x
    x = 1,643,069.07/1,831.44
  6. Step 6: Final answer
    x = 897.15

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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.