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Finding the Fourth Proportional to 1,409.82, 2,114.67 and 369.81

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Solution

The fourth proportional to 1,409.82, 2,114.67 and 369.81 is: 554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.82 : 2,114.67 = 369.81 : x
  2. Step 2: Convert to fraction form
    1,409.82/2,114.67 = 369.81/x
  3. Step 3: Cross multiply
    1,409.82x = 2,114.67 × 369.81
  4. Step 4: Simplify right side
    1,409.82x = 782,026.11
  5. Step 5: Solve for x
    x = 782,026.11/1,409.82
  6. Step 6: Final answer
    x = 554.70

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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.