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Finding the Fourth Proportional to 2,828.32, 3,903.80 and 1,885.68

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Solution

The fourth proportional to 2,828.32, 3,903.80 and 1,885.68 is: 2,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.32 : 3,903.80 = 1,885.68 : x
  2. Step 2: Convert to fraction form
    2,828.32/3,903.80 = 1,885.68/x
  3. Step 3: Cross multiply
    2,828.32x = 3,903.80 × 1,885.68
  4. Step 4: Simplify right side
    2,828.32x = 7,361,308.16
  5. Step 5: Solve for x
    x = 7,361,308.16/2,828.32
  6. Step 6: Final answer
    x = 2,602.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.