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Finding the Fourth Proportional to 2,392.03, 3,589.07 and 1,297.16

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Solution

The fourth proportional to 2,392.03, 3,589.07 and 1,297.16 is: 1,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.03 : 3,589.07 = 1,297.16 : x
  2. Step 2: Convert to fraction form
    2,392.03/3,589.07 = 1,297.16/x
  3. Step 3: Cross multiply
    2,392.03x = 3,589.07 × 1,297.16
  4. Step 4: Simplify right side
    2,392.03x = 4,655,598.04
  5. Step 5: Solve for x
    x = 4,655,598.04/2,392.03
  6. Step 6: Final answer
    x = 1,946.30

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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.