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Finding the Fourth Proportional to 1,666.84, 2,500.26 and 512.60

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Solution

The fourth proportional to 1,666.84, 2,500.26 and 512.60 is: 768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.84 : 2,500.26 = 512.60 : x
  2. Step 2: Convert to fraction form
    1,666.84/2,500.26 = 512.60/x
  3. Step 3: Cross multiply
    1,666.84x = 2,500.26 × 512.60
  4. Step 4: Simplify right side
    1,666.84x = 1,281,633.28
  5. Step 5: Solve for x
    x = 1,281,633.28/1,666.84
  6. Step 6: Final answer
    x = 768.90

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