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Finding the Fourth Proportional to 2,048.64, 3,064.52 and 1,874.03

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Solution

The fourth proportional to 2,048.64, 3,064.52 and 1,874.03 is: 2,803.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.64 : 3,064.52 = 1,874.03 : x
  2. Step 2: Convert to fraction form
    2,048.64/3,064.52 = 1,874.03/x
  3. Step 3: Cross multiply
    2,048.64x = 3,064.52 × 1,874.03
  4. Step 4: Simplify right side
    2,048.64x = 5,742,998.47
  5. Step 5: Solve for x
    x = 5,742,998.47/2,048.64
  6. Step 6: Final answer
    x = 2,803.33

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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.