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Finding the Fourth Proportional to 1,928.29, 2,661.04 and 1,131.45

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Solution

The fourth proportional to 1,928.29, 2,661.04 and 1,131.45 is: 1,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928.29 : 2,661.04 = 1,131.45 : x
  2. Step 2: Convert to fraction form
    1,928.29/2,661.04 = 1,131.45/x
  3. Step 3: Cross multiply
    1,928.29x = 2,661.04 × 1,131.45
  4. Step 4: Simplify right side
    1,928.29x = 3,010,833.71
  5. Step 5: Solve for x
    x = 3,010,833.71/1,928.29
  6. Step 6: Final answer
    x = 1,561.40

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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.