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Finding the Fourth Proportional to 1,886.74, 2,831.67 and 962.98

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Solution

The fourth proportional to 1,886.74, 2,831.67 and 962.98 is: 1,445.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.74 : 2,831.67 = 962.98 : x
  2. Step 2: Convert to fraction form
    1,886.74/2,831.67 = 962.98/x
  3. Step 3: Cross multiply
    1,886.74x = 2,831.67 × 962.98
  4. Step 4: Simplify right side
    1,886.74x = 2,726,841.58
  5. Step 5: Solve for x
    x = 2,726,841.58/1,886.74
  6. Step 6: Final answer
    x = 1,445.27

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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.