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Finding the Fourth Proportional to 1,340.64, 2,010.87 and 928.50

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Solution

The fourth proportional to 1,340.64, 2,010.87 and 928.50 is: 1,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.64 : 2,010.87 = 928.50 : x
  2. Step 2: Convert to fraction form
    1,340.64/2,010.87 = 928.50/x
  3. Step 3: Cross multiply
    1,340.64x = 2,010.87 × 928.50
  4. Step 4: Simplify right side
    1,340.64x = 1,867,092.80
  5. Step 5: Solve for x
    x = 1,867,092.80/1,340.64
  6. Step 6: Final answer
    x = 1,392.69

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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.