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Finding the Fourth Proportional to 2,373.78, 3,275.23 and 1,478.22

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Solution

The fourth proportional to 2,373.78, 3,275.23 and 1,478.22 is: 2,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.78 : 3,275.23 = 1,478.22 : x
  2. Step 2: Convert to fraction form
    2,373.78/3,275.23 = 1,478.22/x
  3. Step 3: Cross multiply
    2,373.78x = 3,275.23 × 1,478.22
  4. Step 4: Simplify right side
    2,373.78x = 4,841,516.43
  5. Step 5: Solve for x
    x = 4,841,516.43/2,373.78
  6. Step 6: Final answer
    x = 2,039.58

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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.