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Finding the Fourth Proportional to 1,536.22, 2,303.17 and 795.04

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Solution

The fourth proportional to 1,536.22, 2,303.17 and 795.04 is: 1,191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.22 : 2,303.17 = 795.04 : x
  2. Step 2: Convert to fraction form
    1,536.22/2,303.17 = 795.04/x
  3. Step 3: Cross multiply
    1,536.22x = 2,303.17 × 795.04
  4. Step 4: Simplify right side
    1,536.22x = 1,831,100.76
  5. Step 5: Solve for x
    x = 1,831,100.76/1,536.22
  6. Step 6: Final answer
    x = 1,191.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.