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Finding the Fourth Proportional to 2,559.93, 3,532.71 and 1,440.89

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Solution

The fourth proportional to 2,559.93, 3,532.71 and 1,440.89 is: 1,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.93 : 3,532.71 = 1,440.89 : x
  2. Step 2: Convert to fraction form
    2,559.93/3,532.71 = 1,440.89/x
  3. Step 3: Cross multiply
    2,559.93x = 3,532.71 × 1,440.89
  4. Step 4: Simplify right side
    2,559.93x = 5,090,231.55
  5. Step 5: Solve for x
    x = 5,090,231.55/2,559.93
  6. Step 6: Final answer
    x = 1,988.42

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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.