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Finding the Fourth Proportional to 1,885.77, 2,826.23 and 788.63

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Solution

The fourth proportional to 1,885.77, 2,826.23 and 788.63 is: 1,181.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.77 : 2,826.23 = 788.63 : x
  2. Step 2: Convert to fraction form
    1,885.77/2,826.23 = 788.63/x
  3. Step 3: Cross multiply
    1,885.77x = 2,826.23 × 788.63
  4. Step 4: Simplify right side
    1,885.77x = 2,228,831.69
  5. Step 5: Solve for x
    x = 2,228,831.69/1,885.77
  6. Step 6: Final answer
    x = 1,181.92

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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.