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Finding the Fourth Proportional to 1,666.08, 2,496.24 and 1,605.60

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Solution

The fourth proportional to 1,666.08, 2,496.24 and 1,605.60 is: 2,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.08 : 2,496.24 = 1,605.60 : x
  2. Step 2: Convert to fraction form
    1,666.08/2,496.24 = 1,605.60/x
  3. Step 3: Cross multiply
    1,666.08x = 2,496.24 × 1,605.60
  4. Step 4: Simplify right side
    1,666.08x = 4,007,962.94
  5. Step 5: Solve for x
    x = 4,007,962.94/1,666.08
  6. Step 6: Final answer
    x = 2,405.62

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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.