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Finding the Fourth Proportional to 2,356.67, 3,535.01 and 1,491.59

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Solution

The fourth proportional to 2,356.67, 3,535.01 and 1,491.59 is: 2,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.67 : 3,535.01 = 1,491.59 : x
  2. Step 2: Convert to fraction form
    2,356.67/3,535.01 = 1,491.59/x
  3. Step 3: Cross multiply
    2,356.67x = 3,535.01 × 1,491.59
  4. Step 4: Simplify right side
    2,356.67x = 5,272,785.57
  5. Step 5: Solve for x
    x = 5,272,785.57/2,356.67
  6. Step 6: Final answer
    x = 2,237.39

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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.