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Finding the Fourth Proportional to 1,827.84, 2,741.92 and 595.28

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Solution

The fourth proportional to 1,827.84, 2,741.92 and 595.28 is: 892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.84 : 2,741.92 = 595.28 : x
  2. Step 2: Convert to fraction form
    1,827.84/2,741.92 = 595.28/x
  3. Step 3: Cross multiply
    1,827.84x = 2,741.92 × 595.28
  4. Step 4: Simplify right side
    1,827.84x = 1,632,210.14
  5. Step 5: Solve for x
    x = 1,632,210.14/1,827.84
  6. Step 6: Final answer
    x = 892.97

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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.