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Finding the Fourth Proportional to 1,554.94, 2,146.02 and 891.66

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Solution

The fourth proportional to 1,554.94, 2,146.02 and 891.66 is: 1,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.94 : 2,146.02 = 891.66 : x
  2. Step 2: Convert to fraction form
    1,554.94/2,146.02 = 891.66/x
  3. Step 3: Cross multiply
    1,554.94x = 2,146.02 × 891.66
  4. Step 4: Simplify right side
    1,554.94x = 1,913,525.56
  5. Step 5: Solve for x
    x = 1,913,525.56/1,554.94
  6. Step 6: Final answer
    x = 1,230.61

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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.