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Finding the Fourth Proportional to 1,409.66, 2,114.49 and 1,023.74

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Solution

The fourth proportional to 1,409.66, 2,114.49 and 1,023.74 is: 1,535.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.66 : 2,114.49 = 1,023.74 : x
  2. Step 2: Convert to fraction form
    1,409.66/2,114.49 = 1,023.74/x
  3. Step 3: Cross multiply
    1,409.66x = 2,114.49 × 1,023.74
  4. Step 4: Simplify right side
    1,409.66x = 2,164,687.99
  5. Step 5: Solve for x
    x = 2,164,687.99/1,409.66
  6. Step 6: Final answer
    x = 1,535.61

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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.