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Finding the Fourth Proportional to 2,287.80, 3,431.70 and 1,303.65

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Solution

The fourth proportional to 2,287.80, 3,431.70 and 1,303.65 is: 1,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.80 : 3,431.70 = 1,303.65 : x
  2. Step 2: Convert to fraction form
    2,287.80/3,431.70 = 1,303.65/x
  3. Step 3: Cross multiply
    2,287.80x = 3,431.70 × 1,303.65
  4. Step 4: Simplify right side
    2,287.80x = 4,473,735.71
  5. Step 5: Solve for x
    x = 4,473,735.71/2,287.80
  6. Step 6: Final answer
    x = 1,955.48

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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.