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Finding the Fourth Proportional to 3,222.71, 4,831.70 and 1,030.17

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Solution

The fourth proportional to 3,222.71, 4,831.70 and 1,030.17 is: 1,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.71 : 4,831.70 = 1,030.17 : x
  2. Step 2: Convert to fraction form
    3,222.71/4,831.70 = 1,030.17/x
  3. Step 3: Cross multiply
    3,222.71x = 4,831.70 × 1,030.17
  4. Step 4: Simplify right side
    3,222.71x = 4,977,467.24
  5. Step 5: Solve for x
    x = 4,977,467.24/3,222.71
  6. Step 6: Final answer
    x = 1,544.50

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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.