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Finding the Fourth Proportional to 1,666.07, 2,299.11 and 919.99

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Solution

The fourth proportional to 1,666.07, 2,299.11 and 919.99 is: 1,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666.07 : 2,299.11 = 919.99 : x
  2. Step 2: Convert to fraction form
    1,666.07/2,299.11 = 919.99/x
  3. Step 3: Cross multiply
    1,666.07x = 2,299.11 × 919.99
  4. Step 4: Simplify right side
    1,666.07x = 2,115,146.71
  5. Step 5: Solve for x
    x = 2,115,146.71/1,666.07
  6. Step 6: Final answer
    x = 1,269.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.