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Finding the Fourth Proportional to 1,529.97, 2,111.16 and 866.82

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Solution

The fourth proportional to 1,529.97, 2,111.16 and 866.82 is: 1,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.97 : 2,111.16 = 866.82 : x
  2. Step 2: Convert to fraction form
    1,529.97/2,111.16 = 866.82/x
  3. Step 3: Cross multiply
    1,529.97x = 2,111.16 × 866.82
  4. Step 4: Simplify right side
    1,529.97x = 1,829,995.71
  5. Step 5: Solve for x
    x = 1,829,995.71/1,529.97
  6. Step 6: Final answer
    x = 1,196.10

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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.