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Finding the Fourth Proportional to 1,885.83, 2,829.96 and 715.83

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Solution

The fourth proportional to 1,885.83, 2,829.96 and 715.83 is: 1,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.83 : 2,829.96 = 715.83 : x
  2. Step 2: Convert to fraction form
    1,885.83/2,829.96 = 715.83/x
  3. Step 3: Cross multiply
    1,885.83x = 2,829.96 × 715.83
  4. Step 4: Simplify right side
    1,885.83x = 2,025,770.27
  5. Step 5: Solve for x
    x = 2,025,770.27/1,885.83
  6. Step 6: Final answer
    x = 1,074.21

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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.