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Finding the Fourth Proportional to 1,886.56, 2,831.60 and 962.76

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Solution

The fourth proportional to 1,886.56, 2,831.60 and 962.76 is: 1,445.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,886.56 : 2,831.60 = 962.76 : x
  2. Step 2: Convert to fraction form
    1,886.56/2,831.60 = 962.76/x
  3. Step 3: Cross multiply
    1,886.56x = 2,831.60 × 962.76
  4. Step 4: Simplify right side
    1,886.56x = 2,726,151.22
  5. Step 5: Solve for x
    x = 2,726,151.22/1,886.56
  6. Step 6: Final answer
    x = 1,445.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.