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Finding the Fourth Proportional to 1,959.42, 2,935.08 and 1,570.08

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Solution

The fourth proportional to 1,959.42, 2,935.08 and 1,570.08 is: 2,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.42 : 2,935.08 = 1,570.08 : x
  2. Step 2: Convert to fraction form
    1,959.42/2,935.08 = 1,570.08/x
  3. Step 3: Cross multiply
    1,959.42x = 2,935.08 × 1,570.08
  4. Step 4: Simplify right side
    1,959.42x = 4,608,310.41
  5. Step 5: Solve for x
    x = 4,608,310.41/1,959.42
  6. Step 6: Final answer
    x = 2,351.87

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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.