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Finding the Fourth Proportional to 2,592.88, 3,887.26 and 948.51

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Solution

The fourth proportional to 2,592.88, 3,887.26 and 948.51 is: 1,422.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.88 : 3,887.26 = 948.51 : x
  2. Step 2: Convert to fraction form
    2,592.88/3,887.26 = 948.51/x
  3. Step 3: Cross multiply
    2,592.88x = 3,887.26 × 948.51
  4. Step 4: Simplify right side
    2,592.88x = 3,687,102.61
  5. Step 5: Solve for x
    x = 3,687,102.61/2,592.88
  6. Step 6: Final answer
    x = 1,422.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.