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Finding the Fourth Proportional to 3,244.48, 4,477.61 and 1,828.40

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Solution

The fourth proportional to 3,244.48, 4,477.61 and 1,828.40 is: 2,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,244.48 : 4,477.61 = 1,828.40 : x
  2. Step 2: Convert to fraction form
    3,244.48/4,477.61 = 1,828.40/x
  3. Step 3: Cross multiply
    3,244.48x = 4,477.61 × 1,828.40
  4. Step 4: Simplify right side
    3,244.48x = 8,186,844.31
  5. Step 5: Solve for x
    x = 8,186,844.31/3,244.48
  6. Step 6: Final answer
    x = 2,523.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.