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Finding the Fourth Proportional to 2,869.00, 4,302.71 and 788.51

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Solution

The fourth proportional to 2,869.00, 4,302.71 and 788.51 is: 1,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.00 : 4,302.71 = 788.51 : x
  2. Step 2: Convert to fraction form
    2,869.00/4,302.71 = 788.51/x
  3. Step 3: Cross multiply
    2,869.00x = 4,302.71 × 788.51
  4. Step 4: Simplify right side
    2,869.00x = 3,392,708.35
  5. Step 5: Solve for x
    x = 3,392,708.35/2,869.00
  6. Step 6: Final answer
    x = 1,182.54

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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.