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Finding the Fourth Proportional to 2,048.86, 3,072.98 and 1,008.58

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Solution

The fourth proportional to 2,048.86, 3,072.98 and 1,008.58 is: 1,512.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.86 : 3,072.98 = 1,008.58 : x
  2. Step 2: Convert to fraction form
    2,048.86/3,072.98 = 1,008.58/x
  3. Step 3: Cross multiply
    2,048.86x = 3,072.98 × 1,008.58
  4. Step 4: Simplify right side
    2,048.86x = 3,099,341.01
  5. Step 5: Solve for x
    x = 3,099,341.01/2,048.86
  6. Step 6: Final answer
    x = 1,512.72

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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.