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Finding the Fourth Proportional to 1,666.57, 2,496.60 and 1,435.45

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Solution

The fourth proportional to 1,666.57, 2,496.60 and 1,435.45 is: 2,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.57 : 2,496.60 = 1,435.45 : x
  2. Step 2: Convert to fraction form
    1,666.57/2,496.60 = 1,435.45/x
  3. Step 3: Cross multiply
    1,666.57x = 2,496.60 × 1,435.45
  4. Step 4: Simplify right side
    1,666.57x = 3,583,744.47
  5. Step 5: Solve for x
    x = 3,583,744.47/1,666.57
  6. Step 6: Final answer
    x = 2,150.37

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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.