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Finding the Fourth Proportional to 2,715.51, 3,747.54 and 1,596.51

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Solution

The fourth proportional to 2,715.51, 3,747.54 and 1,596.51 is: 2,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.51 : 3,747.54 = 1,596.51 : x
  2. Step 2: Convert to fraction form
    2,715.51/3,747.54 = 1,596.51/x
  3. Step 3: Cross multiply
    2,715.51x = 3,747.54 × 1,596.51
  4. Step 4: Simplify right side
    2,715.51x = 5,982,985.09
  5. Step 5: Solve for x
    x = 5,982,985.09/2,715.51
  6. Step 6: Final answer
    x = 2,203.26

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1.5x scale

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.