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Finding the Fourth Proportional to 2,386.78, 3,576.24 and 2,295.65

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Solution

The fourth proportional to 2,386.78, 3,576.24 and 2,295.65 is: 3,439.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.78 : 3,576.24 = 2,295.65 : x
  2. Step 2: Convert to fraction form
    2,386.78/3,576.24 = 2,295.65/x
  3. Step 3: Cross multiply
    2,386.78x = 3,576.24 × 2,295.65
  4. Step 4: Simplify right side
    2,386.78x = 8,209,804.30
  5. Step 5: Solve for x
    x = 8,209,804.30/2,386.78
  6. Step 6: Final answer
    x = 3,439.70

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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.