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Finding the Fourth Proportional to 2,323.72, 3,206.70 and 1,275.76

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Solution

The fourth proportional to 2,323.72, 3,206.70 and 1,275.76 is: 1,760.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.72 : 3,206.70 = 1,275.76 : x
  2. Step 2: Convert to fraction form
    2,323.72/3,206.70 = 1,275.76/x
  3. Step 3: Cross multiply
    2,323.72x = 3,206.70 × 1,275.76
  4. Step 4: Simplify right side
    2,323.72x = 4,090,979.59
  5. Step 5: Solve for x
    x = 4,090,979.59/2,323.72
  6. Step 6: Final answer
    x = 1,760.53

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