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Finding the Fourth Proportional to 2,113.52, 2,917.68 and 1,406.54

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Solution

The fourth proportional to 2,113.52, 2,917.68 and 1,406.54 is: 1,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.52 : 2,917.68 = 1,406.54 : x
  2. Step 2: Convert to fraction form
    2,113.52/2,917.68 = 1,406.54/x
  3. Step 3: Cross multiply
    2,113.52x = 2,917.68 × 1,406.54
  4. Step 4: Simplify right side
    2,113.52x = 4,103,831.40
  5. Step 5: Solve for x
    x = 4,103,831.40/2,113.52
  6. Step 6: Final answer
    x = 1,941.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.