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Finding the Fourth Proportional to 1,794.23, 2,691.23 and 916.19

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Solution

The fourth proportional to 1,794.23, 2,691.23 and 916.19 is: 1,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.23 : 2,691.23 = 916.19 : x
  2. Step 2: Convert to fraction form
    1,794.23/2,691.23 = 916.19/x
  3. Step 3: Cross multiply
    1,794.23x = 2,691.23 × 916.19
  4. Step 4: Simplify right side
    1,794.23x = 2,465,670.23
  5. Step 5: Solve for x
    x = 2,465,670.23/1,794.23
  6. Step 6: Final answer
    x = 1,374.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.