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Finding the Fourth Proportional to 1,596.65, 2,391.53 and 1,401.84

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Solution

The fourth proportional to 1,596.65, 2,391.53 and 1,401.84 is: 2,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.65 : 2,391.53 = 1,401.84 : x
  2. Step 2: Convert to fraction form
    1,596.65/2,391.53 = 1,401.84/x
  3. Step 3: Cross multiply
    1,596.65x = 2,391.53 × 1,401.84
  4. Step 4: Simplify right side
    1,596.65x = 3,352,535.41
  5. Step 5: Solve for x
    x = 3,352,535.41/1,596.65
  6. Step 6: Final answer
    x = 2,099.74

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Why These Related Problems?

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