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Finding the Fourth Proportional to 2,026.52, 3,039.64 and 1,052

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Solution

The fourth proportional to 2,026.52, 3,039.64 and 1,052 is: 1,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.52 : 3,039.64 = 1,052 : x
  2. Step 2: Convert to fraction form
    2,026.52/3,039.64 = 1,052/x
  3. Step 3: Cross multiply
    2,026.52x = 3,039.64 × 1,052
  4. Step 4: Simplify right side
    2,026.52x = 3,197,701.28
  5. Step 5: Solve for x
    x = 3,197,701.28/2,026.52
  6. Step 6: Final answer
    x = 1,577.93

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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.