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Finding the Fourth Proportional to 1,827.97, 2,742.10 and 595.35

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Solution

The fourth proportional to 1,827.97, 2,742.10 and 595.35 is: 893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.97 : 2,742.10 = 595.35 : x
  2. Step 2: Convert to fraction form
    1,827.97/2,742.10 = 595.35/x
  3. Step 3: Cross multiply
    1,827.97x = 2,742.10 × 595.35
  4. Step 4: Simplify right side
    1,827.97x = 1,632,509.24
  5. Step 5: Solve for x
    x = 1,632,509.24/1,827.97
  6. Step 6: Final answer
    x = 893.07

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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.