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Finding the Fourth Proportional to 1,570.52, 2,167.10 and 898.22

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Solution

The fourth proportional to 1,570.52, 2,167.10 and 898.22 is: 1,239.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.52 : 2,167.10 = 898.22 : x
  2. Step 2: Convert to fraction form
    1,570.52/2,167.10 = 898.22/x
  3. Step 3: Cross multiply
    1,570.52x = 2,167.10 × 898.22
  4. Step 4: Simplify right side
    1,570.52x = 1,946,532.56
  5. Step 5: Solve for x
    x = 1,946,532.56/1,570.52
  6. Step 6: Final answer
    x = 1,239.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.