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Finding the Fourth Proportional to 2,560.01, 3,532.42 and 1,440.92

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Solution

The fourth proportional to 2,560.01, 3,532.42 and 1,440.92 is: 1,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.01 : 3,532.42 = 1,440.92 : x
  2. Step 2: Convert to fraction form
    2,560.01/3,532.42 = 1,440.92/x
  3. Step 3: Cross multiply
    2,560.01x = 3,532.42 × 1,440.92
  4. Step 4: Simplify right side
    2,560.01x = 5,089,913.36
  5. Step 5: Solve for x
    x = 5,089,913.36/2,560.01
  6. Step 6: Final answer
    x = 1,988.24

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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.