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Finding the Fourth Proportional to 2,404.51, 3,606.93 and 1,016.47

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Solution

The fourth proportional to 2,404.51, 3,606.93 and 1,016.47 is: 1,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.51 : 3,606.93 = 1,016.47 : x
  2. Step 2: Convert to fraction form
    2,404.51/3,606.93 = 1,016.47/x
  3. Step 3: Cross multiply
    2,404.51x = 3,606.93 × 1,016.47
  4. Step 4: Simplify right side
    2,404.51x = 3,666,336.14
  5. Step 5: Solve for x
    x = 3,666,336.14/2,404.51
  6. Step 6: Final answer
    x = 1,524.77

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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.