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Finding the Fourth Proportional to 1,863.65, 2,567.39 and 1,303.07

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Solution

The fourth proportional to 1,863.65, 2,567.39 and 1,303.07 is: 1,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.65 : 2,567.39 = 1,303.07 : x
  2. Step 2: Convert to fraction form
    1,863.65/2,567.39 = 1,303.07/x
  3. Step 3: Cross multiply
    1,863.65x = 2,567.39 × 1,303.07
  4. Step 4: Simplify right side
    1,863.65x = 3,345,469.54
  5. Step 5: Solve for x
    x = 3,345,469.54/1,863.65
  6. Step 6: Final answer
    x = 1,795.12

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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.