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Finding the Fourth Proportional to 2,389.86, 3,581.82 and 1,734

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Solution

The fourth proportional to 2,389.86, 3,581.82 and 1,734 is: 2,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.86 : 3,581.82 = 1,734 : x
  2. Step 2: Convert to fraction form
    2,389.86/3,581.82 = 1,734/x
  3. Step 3: Cross multiply
    2,389.86x = 3,581.82 × 1,734
  4. Step 4: Simplify right side
    2,389.86x = 6,210,875.88
  5. Step 5: Solve for x
    x = 6,210,875.88/2,389.86
  6. Step 6: Final answer
    x = 2,598.85

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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.