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Finding the Fourth Proportional to 2,710.90, 3,741.90 and 1,592.26

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Solution

The fourth proportional to 2,710.90, 3,741.90 and 1,592.26 is: 2,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.90 : 3,741.90 = 1,592.26 : x
  2. Step 2: Convert to fraction form
    2,710.90/3,741.90 = 1,592.26/x
  3. Step 3: Cross multiply
    2,710.90x = 3,741.90 × 1,592.26
  4. Step 4: Simplify right side
    2,710.90x = 5,958,077.69
  5. Step 5: Solve for x
    x = 5,958,077.69/2,710.90
  6. Step 6: Final answer
    x = 2,197.82

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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.