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Finding the Fourth Proportional to 1,892.61, 2,611.58 and 1,053.11

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Solution

The fourth proportional to 1,892.61, 2,611.58 and 1,053.11 is: 1,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,892.61 : 2,611.58 = 1,053.11 : x
  2. Step 2: Convert to fraction form
    1,892.61/2,611.58 = 1,053.11/x
  3. Step 3: Cross multiply
    1,892.61x = 2,611.58 × 1,053.11
  4. Step 4: Simplify right side
    1,892.61x = 2,750,282.28
  5. Step 5: Solve for x
    x = 2,750,282.28/1,892.61
  6. Step 6: Final answer
    x = 1,453.17

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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.