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Finding the Fourth Proportional to 2,559.72, 3,532.38 and 1,440.67

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Solution

The fourth proportional to 2,559.72, 3,532.38 and 1,440.67 is: 1,988.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.72 : 3,532.38 = 1,440.67 : x
  2. Step 2: Convert to fraction form
    2,559.72/3,532.38 = 1,440.67/x
  3. Step 3: Cross multiply
    2,559.72x = 3,532.38 × 1,440.67
  4. Step 4: Simplify right side
    2,559.72x = 5,088,986.28
  5. Step 5: Solve for x
    x = 5,088,986.28/2,559.72
  6. Step 6: Final answer
    x = 1,988.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.