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Finding the Fourth Proportional to 2,358.99, 3,535.12 and 1,737.81

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Solution

The fourth proportional to 2,358.99, 3,535.12 and 1,737.81 is: 2,604.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.99 : 3,535.12 = 1,737.81 : x
  2. Step 2: Convert to fraction form
    2,358.99/3,535.12 = 1,737.81/x
  3. Step 3: Cross multiply
    2,358.99x = 3,535.12 × 1,737.81
  4. Step 4: Simplify right side
    2,358.99x = 6,143,366.89
  5. Step 5: Solve for x
    x = 6,143,366.89/2,358.99
  6. Step 6: Final answer
    x = 2,604.24

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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.