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Finding the Fourth Proportional to 2,865.78, 3,953.54 and 1,804.01

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Solution

The fourth proportional to 2,865.78, 3,953.54 and 1,804.01 is: 2,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.78 : 3,953.54 = 1,804.01 : x
  2. Step 2: Convert to fraction form
    2,865.78/3,953.54 = 1,804.01/x
  3. Step 3: Cross multiply
    2,865.78x = 3,953.54 × 1,804.01
  4. Step 4: Simplify right side
    2,865.78x = 7,132,210.44
  5. Step 5: Solve for x
    x = 7,132,210.44/2,865.78
  6. Step 6: Final answer
    x = 2,488.75

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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.