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Finding the Fourth Proportional to 1,596.48, 2,379.06 and 1,544.28

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Solution

The fourth proportional to 1,596.48, 2,379.06 and 1,544.28 is: 2,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.48 : 2,379.06 = 1,544.28 : x
  2. Step 2: Convert to fraction form
    1,596.48/2,379.06 = 1,544.28/x
  3. Step 3: Cross multiply
    1,596.48x = 2,379.06 × 1,544.28
  4. Step 4: Simplify right side
    1,596.48x = 3,673,934.78
  5. Step 5: Solve for x
    x = 3,673,934.78/1,596.48
  6. Step 6: Final answer
    x = 2,301.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.