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Finding the Fourth Proportional to 1,887.14, 2,831.16 and 962.66

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Solution

The fourth proportional to 1,887.14, 2,831.16 and 962.66 is: 1,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887.14 : 2,831.16 = 962.66 : x
  2. Step 2: Convert to fraction form
    1,887.14/2,831.16 = 962.66/x
  3. Step 3: Cross multiply
    1,887.14x = 2,831.16 × 962.66
  4. Step 4: Simplify right side
    1,887.14x = 2,725,444.49
  5. Step 5: Solve for x
    x = 2,725,444.49/1,887.14
  6. Step 6: Final answer
    x = 1,444.22

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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.