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Finding the Fourth Proportional to 2,992.50, 4,130.13 and 1,750.26

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Solution

The fourth proportional to 2,992.50, 4,130.13 and 1,750.26 is: 2,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,992.50 : 4,130.13 = 1,750.26 : x
  2. Step 2: Convert to fraction form
    2,992.50/4,130.13 = 1,750.26/x
  3. Step 3: Cross multiply
    2,992.50x = 4,130.13 × 1,750.26
  4. Step 4: Simplify right side
    2,992.50x = 7,228,801.33
  5. Step 5: Solve for x
    x = 7,228,801.33/2,992.50
  6. Step 6: Final answer
    x = 2,415.64

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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.