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Finding the Fourth Proportional to 1,554.57, 2,145.22 and 846.38

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Solution

The fourth proportional to 1,554.57, 2,145.22 and 846.38 is: 1,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.57 : 2,145.22 = 846.38 : x
  2. Step 2: Convert to fraction form
    1,554.57/2,145.22 = 846.38/x
  3. Step 3: Cross multiply
    1,554.57x = 2,145.22 × 846.38
  4. Step 4: Simplify right side
    1,554.57x = 1,815,674.55
  5. Step 5: Solve for x
    x = 1,815,674.55/1,554.57
  6. Step 6: Final answer
    x = 1,167.96

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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.