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Finding the Fourth Proportional to 2,559.78, 3,532.08 and 1,440.57

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Solution

The fourth proportional to 2,559.78, 3,532.08 and 1,440.57 is: 1,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.78 : 3,532.08 = 1,440.57 : x
  2. Step 2: Convert to fraction form
    2,559.78/3,532.08 = 1,440.57/x
  3. Step 3: Cross multiply
    2,559.78x = 3,532.08 × 1,440.57
  4. Step 4: Simplify right side
    2,559.78x = 5,088,208.49
  5. Step 5: Solve for x
    x = 5,088,208.49/2,559.78
  6. Step 6: Final answer
    x = 1,987.75

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