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Finding the Fourth Proportional to 3,006.63, 4,147.74 and 1,826.91

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Solution

The fourth proportional to 3,006.63, 4,147.74 and 1,826.91 is: 2,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.63 : 4,147.74 = 1,826.91 : x
  2. Step 2: Convert to fraction form
    3,006.63/4,147.74 = 1,826.91/x
  3. Step 3: Cross multiply
    3,006.63x = 4,147.74 × 1,826.91
  4. Step 4: Simplify right side
    3,006.63x = 7,577,547.68
  5. Step 5: Solve for x
    x = 7,577,547.68/3,006.63
  6. Step 6: Final answer
    x = 2,520.28

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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.