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Finding the Fourth Proportional to 1,827.43, 2,741.41 and 577.60

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Solution

The fourth proportional to 1,827.43, 2,741.41 and 577.60 is: 866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.43 : 2,741.41 = 577.60 : x
  2. Step 2: Convert to fraction form
    1,827.43/2,741.41 = 577.60/x
  3. Step 3: Cross multiply
    1,827.43x = 2,741.41 × 577.60
  4. Step 4: Simplify right side
    1,827.43x = 1,583,421.82
  5. Step 5: Solve for x
    x = 1,583,421.82/1,827.43
  6. Step 6: Final answer
    x = 866.48

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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.