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Finding the Fourth Proportional to 1,827.62, 2,741.47 and 595.03

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Solution

The fourth proportional to 1,827.62, 2,741.47 and 595.03 is: 892.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.62 : 2,741.47 = 595.03 : x
  2. Step 2: Convert to fraction form
    1,827.62/2,741.47 = 595.03/x
  3. Step 3: Cross multiply
    1,827.62x = 2,741.47 × 595.03
  4. Step 4: Simplify right side
    1,827.62x = 1,631,248.55
  5. Step 5: Solve for x
    x = 1,631,248.55/1,827.62
  6. Step 6: Final answer
    x = 892.55

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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.