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Finding the Fourth Proportional to 1,610.49, 2,415.93 and 570.28

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Solution

The fourth proportional to 1,610.49, 2,415.93 and 570.28 is: 855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.49 : 2,415.93 = 570.28 : x
  2. Step 2: Convert to fraction form
    1,610.49/2,415.93 = 570.28/x
  3. Step 3: Cross multiply
    1,610.49x = 2,415.93 × 570.28
  4. Step 4: Simplify right side
    1,610.49x = 1,377,756.56
  5. Step 5: Solve for x
    x = 1,377,756.56/1,610.49
  6. Step 6: Final answer
    x = 855.49

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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.