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Finding the Fourth Proportional to 2,559.54, 3,532.18 and 1,440.50

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Solution

The fourth proportional to 2,559.54, 3,532.18 and 1,440.50 is: 1,987.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.54 : 3,532.18 = 1,440.50 : x
  2. Step 2: Convert to fraction form
    2,559.54/3,532.18 = 1,440.50/x
  3. Step 3: Cross multiply
    2,559.54x = 3,532.18 × 1,440.50
  4. Step 4: Simplify right side
    2,559.54x = 5,088,105.29
  5. Step 5: Solve for x
    x = 5,088,105.29/2,559.54
  6. Step 6: Final answer
    x = 1,987.90

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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.