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Finding the Fourth Proportional to 1,564.92, 2,348.90 and 835.01

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Solution

The fourth proportional to 1,564.92, 2,348.90 and 835.01 is: 1,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.92 : 2,348.90 = 835.01 : x
  2. Step 2: Convert to fraction form
    1,564.92/2,348.90 = 835.01/x
  3. Step 3: Cross multiply
    1,564.92x = 2,348.90 × 835.01
  4. Step 4: Simplify right side
    1,564.92x = 1,961,351.01
  5. Step 5: Solve for x
    x = 1,961,351.01/1,564.92
  6. Step 6: Final answer
    x = 1,253.32

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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.