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Finding the Fourth Proportional to 2,435, 3,359.16 and 1,490.48

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Solution

The fourth proportional to 2,435, 3,359.16 and 1,490.48 is: 2,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435 : 3,359.16 = 1,490.48 : x
  2. Step 2: Convert to fraction form
    2,435/3,359.16 = 1,490.48/x
  3. Step 3: Cross multiply
    2,435x = 3,359.16 × 1,490.48
  4. Step 4: Simplify right side
    2,435x = 5,006,760.80
  5. Step 5: Solve for x
    x = 5,006,760.80/2,435
  6. Step 6: Final answer
    x = 2,056.16

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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.