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Finding the Fourth Proportional to 1,885.79, 2,829.09 and 587.36

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Solution

The fourth proportional to 1,885.79, 2,829.09 and 587.36 is: 881.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.79 : 2,829.09 = 587.36 : x
  2. Step 2: Convert to fraction form
    1,885.79/2,829.09 = 587.36/x
  3. Step 3: Cross multiply
    1,885.79x = 2,829.09 × 587.36
  4. Step 4: Simplify right side
    1,885.79x = 1,661,694.30
  5. Step 5: Solve for x
    x = 1,661,694.30/1,885.79
  6. Step 6: Final answer
    x = 881.17

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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.