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Finding the Fourth Proportional to 1,536.17, 2,119.84 and 863.93

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Solution

The fourth proportional to 1,536.17, 2,119.84 and 863.93 is: 1,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.17 : 2,119.84 = 863.93 : x
  2. Step 2: Convert to fraction form
    1,536.17/2,119.84 = 863.93/x
  3. Step 3: Cross multiply
    1,536.17x = 2,119.84 × 863.93
  4. Step 4: Simplify right side
    1,536.17x = 1,831,396.51
  5. Step 5: Solve for x
    x = 1,831,396.51/1,536.17
  6. Step 6: Final answer
    x = 1,192.19

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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.