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Finding the Fourth Proportional to 2,335.42, 3,502.05 and 1,037.26

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Solution

The fourth proportional to 2,335.42, 3,502.05 and 1,037.26 is: 1,555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.42 : 3,502.05 = 1,037.26 : x
  2. Step 2: Convert to fraction form
    2,335.42/3,502.05 = 1,037.26/x
  3. Step 3: Cross multiply
    2,335.42x = 3,502.05 × 1,037.26
  4. Step 4: Simplify right side
    2,335.42x = 3,632,536.38
  5. Step 5: Solve for x
    x = 3,632,536.38/2,335.42
  6. Step 6: Final answer
    x = 1,555.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.