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Finding the Fourth Proportional to 1,831.26, 2,746.59 and 514.90

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Solution

The fourth proportional to 1,831.26, 2,746.59 and 514.90 is: 772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831.26 : 2,746.59 = 514.90 : x
  2. Step 2: Convert to fraction form
    1,831.26/2,746.59 = 514.90/x
  3. Step 3: Cross multiply
    1,831.26x = 2,746.59 × 514.90
  4. Step 4: Simplify right side
    1,831.26x = 1,414,219.19
  5. Step 5: Solve for x
    x = 1,414,219.19/1,831.26
  6. Step 6: Final answer
    x = 772.27

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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.