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Finding the Fourth Proportional to 2,373.58, 3,274.74 and 1,535.34

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Solution

The fourth proportional to 2,373.58, 3,274.74 and 1,535.34 is: 2,118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.58 : 3,274.74 = 1,535.34 : x
  2. Step 2: Convert to fraction form
    2,373.58/3,274.74 = 1,535.34/x
  3. Step 3: Cross multiply
    2,373.58x = 3,274.74 × 1,535.34
  4. Step 4: Simplify right side
    2,373.58x = 5,027,851.59
  5. Step 5: Solve for x
    x = 5,027,851.59/2,373.58
  6. Step 6: Final answer
    x = 2,118.26

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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.