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Finding the Fourth Proportional to 1,522.58, 2,100.90 and 859.24

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Solution

The fourth proportional to 1,522.58, 2,100.90 and 859.24 is: 1,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.58 : 2,100.90 = 859.24 : x
  2. Step 2: Convert to fraction form
    1,522.58/2,100.90 = 859.24/x
  3. Step 3: Cross multiply
    1,522.58x = 2,100.90 × 859.24
  4. Step 4: Simplify right side
    1,522.58x = 1,805,172.06
  5. Step 5: Solve for x
    x = 1,805,172.06/1,522.58
  6. Step 6: Final answer
    x = 1,185.60

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