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Finding the Fourth Proportional to 2,285.64, 3,429.02 and 1,349.38

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Solution

The fourth proportional to 2,285.64, 3,429.02 and 1,349.38 is: 2,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.64 : 3,429.02 = 1,349.38 : x
  2. Step 2: Convert to fraction form
    2,285.64/3,429.02 = 1,349.38/x
  3. Step 3: Cross multiply
    2,285.64x = 3,429.02 × 1,349.38
  4. Step 4: Simplify right side
    2,285.64x = 4,627,051.01
  5. Step 5: Solve for x
    x = 4,627,051.01/2,285.64
  6. Step 6: Final answer
    x = 2,024.40

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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.