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Finding the Fourth Proportional to 1,885.98, 2,829.13 and 587.45

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Solution

The fourth proportional to 1,885.98, 2,829.13 and 587.45 is: 881.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.98 : 2,829.13 = 587.45 : x
  2. Step 2: Convert to fraction form
    1,885.98/2,829.13 = 587.45/x
  3. Step 3: Cross multiply
    1,885.98x = 2,829.13 × 587.45
  4. Step 4: Simplify right side
    1,885.98x = 1,661,978.02
  5. Step 5: Solve for x
    x = 1,661,978.02/1,885.98
  6. Step 6: Final answer
    x = 881.23

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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.