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Finding the Fourth Proportional to 4,253.64, 6,382.08 and 1,656.78

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Solution

The fourth proportional to 4,253.64, 6,382.08 and 1,656.78 is: 2,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.64 : 6,382.08 = 1,656.78 : x
  2. Step 2: Convert to fraction form
    4,253.64/6,382.08 = 1,656.78/x
  3. Step 3: Cross multiply
    4,253.64x = 6,382.08 × 1,656.78
  4. Step 4: Simplify right side
    4,253.64x = 10,573,702.50
  5. Step 5: Solve for x
    x = 10,573,702.50/4,253.64
  6. Step 6: Final answer
    x = 2,485.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.