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Finding the Fourth Proportional to 1,666.99, 2,500.80 and 693.17

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Solution

The fourth proportional to 1,666.99, 2,500.80 and 693.17 is: 1,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.99 : 2,500.80 = 693.17 : x
  2. Step 2: Convert to fraction form
    1,666.99/2,500.80 = 693.17/x
  3. Step 3: Cross multiply
    1,666.99x = 2,500.80 × 693.17
  4. Step 4: Simplify right side
    1,666.99x = 1,733,476.07
  5. Step 5: Solve for x
    x = 1,733,476.07/1,666.99
  6. Step 6: Final answer
    x = 1,039.88

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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.