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Finding the Fourth Proportional to 1,635.16, 2,453.54 and 595.43

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Solution

The fourth proportional to 1,635.16, 2,453.54 and 595.43 is: 893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.16 : 2,453.54 = 595.43 : x
  2. Step 2: Convert to fraction form
    1,635.16/2,453.54 = 595.43/x
  3. Step 3: Cross multiply
    1,635.16x = 2,453.54 × 595.43
  4. Step 4: Simplify right side
    1,635.16x = 1,460,901.73
  5. Step 5: Solve for x
    x = 1,460,901.73/1,635.16
  6. Step 6: Final answer
    x = 893.43

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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.