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Finding the Fourth Proportional to 2,299.68, 3,447.12 and 1,066.07

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Solution

The fourth proportional to 2,299.68, 3,447.12 and 1,066.07 is: 1,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.68 : 3,447.12 = 1,066.07 : x
  2. Step 2: Convert to fraction form
    2,299.68/3,447.12 = 1,066.07/x
  3. Step 3: Cross multiply
    2,299.68x = 3,447.12 × 1,066.07
  4. Step 4: Simplify right side
    2,299.68x = 3,674,879.84
  5. Step 5: Solve for x
    x = 3,674,879.84/2,299.68
  6. Step 6: Final answer
    x = 1,598.00

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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.