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Finding the Fourth Proportional to 1,522.39, 2,101.00 and 859

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Solution

The fourth proportional to 1,522.39, 2,101.00 and 859 is: 1,185.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.39 : 2,101.00 = 859 : x
  2. Step 2: Convert to fraction form
    1,522.39/2,101.00 = 859/x
  3. Step 3: Cross multiply
    1,522.39x = 2,101.00 × 859
  4. Step 4: Simplify right side
    1,522.39x = 1,804,754.71
  5. Step 5: Solve for x
    x = 1,804,754.71/1,522.39
  6. Step 6: Final answer
    x = 1,185.47

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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.