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Finding the Fourth Proportional to 3,026.26, 4,539.42 and 946.36

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Solution

The fourth proportional to 3,026.26, 4,539.42 and 946.36 is: 1,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.26 : 4,539.42 = 946.36 : x
  2. Step 2: Convert to fraction form
    3,026.26/4,539.42 = 946.36/x
  3. Step 3: Cross multiply
    3,026.26x = 4,539.42 × 946.36
  4. Step 4: Simplify right side
    3,026.26x = 4,295,925.51
  5. Step 5: Solve for x
    x = 4,295,925.51/3,026.26
  6. Step 6: Final answer
    x = 1,419.55

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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.