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Finding the Fourth Proportional to 2,869.83, 4,305.35 and 1,021.51

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Solution

The fourth proportional to 2,869.83, 4,305.35 and 1,021.51 is: 1,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.83 : 4,305.35 = 1,021.51 : x
  2. Step 2: Convert to fraction form
    2,869.83/4,305.35 = 1,021.51/x
  3. Step 3: Cross multiply
    2,869.83x = 4,305.35 × 1,021.51
  4. Step 4: Simplify right side
    2,869.83x = 4,397,966.01
  5. Step 5: Solve for x
    x = 4,397,966.01/2,869.83
  6. Step 6: Final answer
    x = 1,532.48

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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.