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Finding the Fourth Proportional to 1,509.57, 2,254.19 and 1,323.09

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Solution

The fourth proportional to 1,509.57, 2,254.19 and 1,323.09 is: 1,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.57 : 2,254.19 = 1,323.09 : x
  2. Step 2: Convert to fraction form
    1,509.57/2,254.19 = 1,323.09/x
  3. Step 3: Cross multiply
    1,509.57x = 2,254.19 × 1,323.09
  4. Step 4: Simplify right side
    1,509.57x = 2,982,489.63
  5. Step 5: Solve for x
    x = 2,982,489.63/1,509.57
  6. Step 6: Final answer
    x = 1,975.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.