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Finding the Fourth Proportional to 1,827.08, 2,741.43 and 961.19

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Solution

The fourth proportional to 1,827.08, 2,741.43 and 961.19 is: 1,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.08 : 2,741.43 = 961.19 : x
  2. Step 2: Convert to fraction form
    1,827.08/2,741.43 = 961.19/x
  3. Step 3: Cross multiply
    1,827.08x = 2,741.43 × 961.19
  4. Step 4: Simplify right side
    1,827.08x = 2,635,035.10
  5. Step 5: Solve for x
    x = 2,635,035.10/1,827.08
  6. Step 6: Final answer
    x = 1,442.21

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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.