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Finding the Fourth Proportional to 1,887.24, 2,828.12 and 831.77

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Solution

The fourth proportional to 1,887.24, 2,828.12 and 831.77 is: 1,246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.24 : 2,828.12 = 831.77 : x
  2. Step 2: Convert to fraction form
    1,887.24/2,828.12 = 831.77/x
  3. Step 3: Cross multiply
    1,887.24x = 2,828.12 × 831.77
  4. Step 4: Simplify right side
    1,887.24x = 2,352,341.21
  5. Step 5: Solve for x
    x = 2,352,341.21/1,887.24
  6. Step 6: Final answer
    x = 1,246.45

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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.