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Finding the Fourth Proportional to 3,005.00, 4,506.24 and 1,444.64

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Solution

The fourth proportional to 3,005.00, 4,506.24 and 1,444.64 is: 2,166.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.00 : 4,506.24 = 1,444.64 : x
  2. Step 2: Convert to fraction form
    3,005.00/4,506.24 = 1,444.64/x
  3. Step 3: Cross multiply
    3,005.00x = 4,506.24 × 1,444.64
  4. Step 4: Simplify right side
    3,005.00x = 6,509,877.44
  5. Step 5: Solve for x
    x = 6,509,877.44/3,005.00
  6. Step 6: Final answer
    x = 2,166.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.