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Finding the Fourth Proportional to 1,831.29, 2,745.64 and 953.47

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Solution

The fourth proportional to 1,831.29, 2,745.64 and 953.47 is: 1,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.29 : 2,745.64 = 953.47 : x
  2. Step 2: Convert to fraction form
    1,831.29/2,745.64 = 953.47/x
  3. Step 3: Cross multiply
    1,831.29x = 2,745.64 × 953.47
  4. Step 4: Simplify right side
    1,831.29x = 2,617,885.37
  5. Step 5: Solve for x
    x = 2,617,885.37/1,831.29
  6. Step 6: Final answer
    x = 1,429.53

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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.