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Finding the Fourth Proportional to 1,409.54, 2,115.59 and 751.97

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Solution

The fourth proportional to 1,409.54, 2,115.59 and 751.97 is: 1,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.54 : 2,115.59 = 751.97 : x
  2. Step 2: Convert to fraction form
    1,409.54/2,115.59 = 751.97/x
  3. Step 3: Cross multiply
    1,409.54x = 2,115.59 × 751.97
  4. Step 4: Simplify right side
    1,409.54x = 1,590,861.74
  5. Step 5: Solve for x
    x = 1,590,861.74/1,409.54
  6. Step 6: Final answer
    x = 1,128.64

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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.