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Finding the Fourth Proportional to 1,928.70, 2,661.48 and 1,230

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Solution

The fourth proportional to 1,928.70, 2,661.48 and 1,230 is: 1,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.70 : 2,661.48 = 1,230 : x
  2. Step 2: Convert to fraction form
    1,928.70/2,661.48 = 1,230/x
  3. Step 3: Cross multiply
    1,928.70x = 2,661.48 × 1,230
  4. Step 4: Simplify right side
    1,928.70x = 3,273,620.40
  5. Step 5: Solve for x
    x = 3,273,620.40/1,928.70
  6. Step 6: Final answer
    x = 1,697.32

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Why These Related Problems?

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