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Finding the Fourth Proportional to 1,554.07, 2,144.63 and 845.93

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Solution

The fourth proportional to 1,554.07, 2,144.63 and 845.93 is: 1,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.07 : 2,144.63 = 845.93 : x
  2. Step 2: Convert to fraction form
    1,554.07/2,144.63 = 845.93/x
  3. Step 3: Cross multiply
    1,554.07x = 2,144.63 × 845.93
  4. Step 4: Simplify right side
    1,554.07x = 1,814,191.90
  5. Step 5: Solve for x
    x = 1,814,191.90/1,554.07
  6. Step 6: Final answer
    x = 1,167.38

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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.