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Finding the Fourth Proportional to 2,285.15, 3,429.14 and 898.24

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Solution

The fourth proportional to 2,285.15, 3,429.14 and 898.24 is: 1,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.15 : 3,429.14 = 898.24 : x
  2. Step 2: Convert to fraction form
    2,285.15/3,429.14 = 898.24/x
  3. Step 3: Cross multiply
    2,285.15x = 3,429.14 × 898.24
  4. Step 4: Simplify right side
    2,285.15x = 3,080,184.08
  5. Step 5: Solve for x
    x = 3,080,184.08/2,285.15
  6. Step 6: Final answer
    x = 1,347.92

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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.