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Finding the Fourth Proportional to 1,522.16, 2,100.63 and 859.04

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Solution

The fourth proportional to 1,522.16, 2,100.63 and 859.04 is: 1,185.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.16 : 2,100.63 = 859.04 : x
  2. Step 2: Convert to fraction form
    1,522.16/2,100.63 = 859.04/x
  3. Step 3: Cross multiply
    1,522.16x = 2,100.63 × 859.04
  4. Step 4: Simplify right side
    1,522.16x = 1,804,514.69
  5. Step 5: Solve for x
    x = 1,804,514.69/1,522.16
  6. Step 6: Final answer
    x = 1,185.50

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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.