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Finding the Fourth Proportional to 3,094.17, 4,641 and 1,512.40

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Solution

The fourth proportional to 3,094.17, 4,641 and 1,512.40 is: 2,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.17 : 4,641 = 1,512.40 : x
  2. Step 2: Convert to fraction form
    3,094.17/4,641 = 1,512.40/x
  3. Step 3: Cross multiply
    3,094.17x = 4,641 × 1,512.40
  4. Step 4: Simplify right side
    3,094.17x = 7,019,048.40
  5. Step 5: Solve for x
    x = 7,019,048.40/3,094.17
  6. Step 6: Final answer
    x = 2,268.48

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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.