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Finding the Fourth Proportional to 4,376.66, 6,563.04 and 1,602.60

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Solution

The fourth proportional to 4,376.66, 6,563.04 and 1,602.60 is: 2,403.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.66 : 6,563.04 = 1,602.60 : x
  2. Step 2: Convert to fraction form
    4,376.66/6,563.04 = 1,602.60/x
  3. Step 3: Cross multiply
    4,376.66x = 6,563.04 × 1,602.60
  4. Step 4: Simplify right side
    4,376.66x = 10,517,927.90
  5. Step 5: Solve for x
    x = 10,517,927.90/4,376.66
  6. Step 6: Final answer
    x = 2,403.19

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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.