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Finding the Fourth Proportional to 2,484.73, 3,429.12 and 1,490.05

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Solution

The fourth proportional to 2,484.73, 3,429.12 and 1,490.05 is: 2,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484.73 : 3,429.12 = 1,490.05 : x
  2. Step 2: Convert to fraction form
    2,484.73/3,429.12 = 1,490.05/x
  3. Step 3: Cross multiply
    2,484.73x = 3,429.12 × 1,490.05
  4. Step 4: Simplify right side
    2,484.73x = 5,109,560.26
  5. Step 5: Solve for x
    x = 5,109,560.26/2,484.73
  6. Step 6: Final answer
    x = 2,056.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.