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Finding the Fourth Proportional to 2,653.56, 3,979.53 and 1,498.50

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Solution

The fourth proportional to 2,653.56, 3,979.53 and 1,498.50 is: 2,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.56 : 3,979.53 = 1,498.50 : x
  2. Step 2: Convert to fraction form
    2,653.56/3,979.53 = 1,498.50/x
  3. Step 3: Cross multiply
    2,653.56x = 3,979.53 × 1,498.50
  4. Step 4: Simplify right side
    2,653.56x = 5,963,325.71
  5. Step 5: Solve for x
    x = 5,963,325.71/2,653.56
  6. Step 6: Final answer
    x = 2,247.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.