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Finding the Fourth Proportional to 3,415.48, 4,713.51 and 1,924

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Solution

The fourth proportional to 3,415.48, 4,713.51 and 1,924 is: 2,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.48 : 4,713.51 = 1,924 : x
  2. Step 2: Convert to fraction form
    3,415.48/4,713.51 = 1,924/x
  3. Step 3: Cross multiply
    3,415.48x = 4,713.51 × 1,924
  4. Step 4: Simplify right side
    3,415.48x = 9,068,793.24
  5. Step 5: Solve for x
    x = 9,068,793.24/3,415.48
  6. Step 6: Final answer
    x = 2,655.20

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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.