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Finding the Fourth Proportional to 1,828.29, 2,742.54 and 595.71

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Solution

The fourth proportional to 1,828.29, 2,742.54 and 595.71 is: 893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.29 : 2,742.54 = 595.71 : x
  2. Step 2: Convert to fraction form
    1,828.29/2,742.54 = 595.71/x
  3. Step 3: Cross multiply
    1,828.29x = 2,742.54 × 595.71
  4. Step 4: Simplify right side
    1,828.29x = 1,633,758.50
  5. Step 5: Solve for x
    x = 1,633,758.50/1,828.29
  6. Step 6: Final answer
    x = 893.60

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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.