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Finding the Fourth Proportional to 2,370.02, 3,274.97 and 2,256.21

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Solution

The fourth proportional to 2,370.02, 3,274.97 and 2,256.21 is: 3,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.02 : 3,274.97 = 2,256.21 : x
  2. Step 2: Convert to fraction form
    2,370.02/3,274.97 = 2,256.21/x
  3. Step 3: Cross multiply
    2,370.02x = 3,274.97 × 2,256.21
  4. Step 4: Simplify right side
    2,370.02x = 7,389,020.06
  5. Step 5: Solve for x
    x = 7,389,020.06/2,370.02
  6. Step 6: Final answer
    x = 3,117.70

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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.