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Finding the Fourth Proportional to 2,397.62, 3,594.46 and 1,164.40

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Solution

The fourth proportional to 2,397.62, 3,594.46 and 1,164.40 is: 1,745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.62 : 3,594.46 = 1,164.40 : x
  2. Step 2: Convert to fraction form
    2,397.62/3,594.46 = 1,164.40/x
  3. Step 3: Cross multiply
    2,397.62x = 3,594.46 × 1,164.40
  4. Step 4: Simplify right side
    2,397.62x = 4,185,389.22
  5. Step 5: Solve for x
    x = 4,185,389.22/2,397.62
  6. Step 6: Final answer
    x = 1,745.64

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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.