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Finding the Fourth Proportional to 1,887.41, 2,831.10 and 571.16

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Solution

The fourth proportional to 1,887.41, 2,831.10 and 571.16 is: 856.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.41 : 2,831.10 = 571.16 : x
  2. Step 2: Convert to fraction form
    1,887.41/2,831.10 = 571.16/x
  3. Step 3: Cross multiply
    1,887.41x = 2,831.10 × 571.16
  4. Step 4: Simplify right side
    1,887.41x = 1,616,996.92
  5. Step 5: Solve for x
    x = 1,616,996.92/1,887.41
  6. Step 6: Final answer
    x = 856.73

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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.