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Finding the Fourth Proportional to 1,453.34, 2,006.33 and 893.95

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Solution

The fourth proportional to 1,453.34, 2,006.33 and 893.95 is: 1,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.34 : 2,006.33 = 893.95 : x
  2. Step 2: Convert to fraction form
    1,453.34/2,006.33 = 893.95/x
  3. Step 3: Cross multiply
    1,453.34x = 2,006.33 × 893.95
  4. Step 4: Simplify right side
    1,453.34x = 1,793,549.22
  5. Step 5: Solve for x
    x = 1,793,549.22/1,453.34
  6. Step 6: Final answer
    x = 1,234.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.