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Finding the Fourth Proportional to 1,561.20, 2,341.48 and 521.08

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Solution

The fourth proportional to 1,561.20, 2,341.48 and 521.08 is: 781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.20 : 2,341.48 = 521.08 : x
  2. Step 2: Convert to fraction form
    1,561.20/2,341.48 = 521.08/x
  3. Step 3: Cross multiply
    1,561.20x = 2,341.48 × 521.08
  4. Step 4: Simplify right side
    1,561.20x = 1,220,098.40
  5. Step 5: Solve for x
    x = 1,220,098.40/1,561.20
  6. Step 6: Final answer
    x = 781.51

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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.