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Finding the Fourth Proportional to 2,357.74, 3,535.70 and 1,041.42

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Solution

The fourth proportional to 2,357.74, 3,535.70 and 1,041.42 is: 1,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.74 : 3,535.70 = 1,041.42 : x
  2. Step 2: Convert to fraction form
    2,357.74/3,535.70 = 1,041.42/x
  3. Step 3: Cross multiply
    2,357.74x = 3,535.70 × 1,041.42
  4. Step 4: Simplify right side
    2,357.74x = 3,682,143.49
  5. Step 5: Solve for x
    x = 3,682,143.49/2,357.74
  6. Step 6: Final answer
    x = 1,561.73

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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.