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Finding the Fourth Proportional to 2,967.53, 4,095.02 and 1,641.15

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Solution

The fourth proportional to 2,967.53, 4,095.02 and 1,641.15 is: 2,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.53 : 4,095.02 = 1,641.15 : x
  2. Step 2: Convert to fraction form
    2,967.53/4,095.02 = 1,641.15/x
  3. Step 3: Cross multiply
    2,967.53x = 4,095.02 × 1,641.15
  4. Step 4: Simplify right side
    2,967.53x = 6,720,546.18
  5. Step 5: Solve for x
    x = 6,720,546.18/2,967.53
  6. Step 6: Final answer
    x = 2,264.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.