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Finding the Fourth Proportional to 2,373.64, 3,274.06 and 1,673.80

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Solution

The fourth proportional to 2,373.64, 3,274.06 and 1,673.80 is: 2,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.64 : 3,274.06 = 1,673.80 : x
  2. Step 2: Convert to fraction form
    2,373.64/3,274.06 = 1,673.80/x
  3. Step 3: Cross multiply
    2,373.64x = 3,274.06 × 1,673.80
  4. Step 4: Simplify right side
    2,373.64x = 5,480,121.63
  5. Step 5: Solve for x
    x = 5,480,121.63/2,373.64
  6. Step 6: Final answer
    x = 2,308.74

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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.