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Finding the Fourth Proportional to 2,175.48, 3,005.64 and 1,737

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Solution

The fourth proportional to 2,175.48, 3,005.64 and 1,737 is: 2,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.48 : 3,005.64 = 1,737 : x
  2. Step 2: Convert to fraction form
    2,175.48/3,005.64 = 1,737/x
  3. Step 3: Cross multiply
    2,175.48x = 3,005.64 × 1,737
  4. Step 4: Simplify right side
    2,175.48x = 5,220,796.68
  5. Step 5: Solve for x
    x = 5,220,796.68/2,175.48
  6. Step 6: Final answer
    x = 2,399.84

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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.