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Finding the Fourth Proportional to 1,539.77, 2,307.63 and 1,344.27

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Solution

The fourth proportional to 1,539.77, 2,307.63 and 1,344.27 is: 2,014.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.77 : 2,307.63 = 1,344.27 : x
  2. Step 2: Convert to fraction form
    1,539.77/2,307.63 = 1,344.27/x
  3. Step 3: Cross multiply
    1,539.77x = 2,307.63 × 1,344.27
  4. Step 4: Simplify right side
    1,539.77x = 3,102,077.78
  5. Step 5: Solve for x
    x = 3,102,077.78/1,539.77
  6. Step 6: Final answer
    x = 2,014.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.