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Finding the Fourth Proportional to 2,854.83, 4,283.09 and 1,006.08

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Solution

The fourth proportional to 2,854.83, 4,283.09 and 1,006.08 is: 1,509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.83 : 4,283.09 = 1,006.08 : x
  2. Step 2: Convert to fraction form
    2,854.83/4,283.09 = 1,006.08/x
  3. Step 3: Cross multiply
    2,854.83x = 4,283.09 × 1,006.08
  4. Step 4: Simplify right side
    2,854.83x = 4,309,131.19
  5. Step 5: Solve for x
    x = 4,309,131.19/2,854.83
  6. Step 6: Final answer
    x = 1,509.42

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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.