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Finding the Fourth Proportional to 1,561.25, 2,340.38 and 573.84

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Solution

The fourth proportional to 1,561.25, 2,340.38 and 573.84 is: 860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.25 : 2,340.38 = 573.84 : x
  2. Step 2: Convert to fraction form
    1,561.25/2,340.38 = 573.84/x
  3. Step 3: Cross multiply
    1,561.25x = 2,340.38 × 573.84
  4. Step 4: Simplify right side
    1,561.25x = 1,343,005.09
  5. Step 5: Solve for x
    x = 1,343,005.09/1,561.25
  6. Step 6: Final answer
    x = 860.21

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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.