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Finding the Fourth Proportional to 3,048.44, 4,206.63 and 1,721.86

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Solution

The fourth proportional to 3,048.44, 4,206.63 and 1,721.86 is: 2,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.44 : 4,206.63 = 1,721.86 : x
  2. Step 2: Convert to fraction form
    3,048.44/4,206.63 = 1,721.86/x
  3. Step 3: Cross multiply
    3,048.44x = 4,206.63 × 1,721.86
  4. Step 4: Simplify right side
    3,048.44x = 7,243,223.87
  5. Step 5: Solve for x
    x = 7,243,223.87/3,048.44
  6. Step 6: Final answer
    x = 2,376.05

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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.