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Finding the Fourth Proportional to 2,404.71, 3,606.26 and 672.93

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Solution

The fourth proportional to 2,404.71, 3,606.26 and 672.93 is: 1,009.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.71 : 3,606.26 = 672.93 : x
  2. Step 2: Convert to fraction form
    2,404.71/3,606.26 = 672.93/x
  3. Step 3: Cross multiply
    2,404.71x = 3,606.26 × 672.93
  4. Step 4: Simplify right side
    2,404.71x = 2,426,757.18
  5. Step 5: Solve for x
    x = 2,426,757.18/2,404.71
  6. Step 6: Final answer
    x = 1,009.17

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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.