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Finding the Fourth Proportional to 1,570.68, 2,352.78 and 919.44

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Solution

The fourth proportional to 1,570.68, 2,352.78 and 919.44 is: 1,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.68 : 2,352.78 = 919.44 : x
  2. Step 2: Convert to fraction form
    1,570.68/2,352.78 = 919.44/x
  3. Step 3: Cross multiply
    1,570.68x = 2,352.78 × 919.44
  4. Step 4: Simplify right side
    1,570.68x = 2,163,240.04
  5. Step 5: Solve for x
    x = 2,163,240.04/1,570.68
  6. Step 6: Final answer
    x = 1,377.26

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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.