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Finding the Fourth Proportional to 1,501.34, 2,252.21 and 679.19

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Solution

The fourth proportional to 1,501.34, 2,252.21 and 679.19 is: 1,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.34 : 2,252.21 = 679.19 : x
  2. Step 2: Convert to fraction form
    1,501.34/2,252.21 = 679.19/x
  3. Step 3: Cross multiply
    1,501.34x = 2,252.21 × 679.19
  4. Step 4: Simplify right side
    1,501.34x = 1,529,663.85
  5. Step 5: Solve for x
    x = 1,529,663.85/1,501.34
  6. Step 6: Final answer
    x = 1,018.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.