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Finding the Fourth Proportional to 2,005.34, 3,007.64 and 544.30

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Solution

The fourth proportional to 2,005.34, 3,007.64 and 544.30 is: 816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.34 : 3,007.64 = 544.30 : x
  2. Step 2: Convert to fraction form
    2,005.34/3,007.64 = 544.30/x
  3. Step 3: Cross multiply
    2,005.34x = 3,007.64 × 544.30
  4. Step 4: Simplify right side
    2,005.34x = 1,637,058.45
  5. Step 5: Solve for x
    x = 1,637,058.45/2,005.34
  6. Step 6: Final answer
    x = 816.35

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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.