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Finding the Fourth Proportional to 3,055.61, 4,576.53 and 1,409.69

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Solution

The fourth proportional to 3,055.61, 4,576.53 and 1,409.69 is: 2,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055.61 : 4,576.53 = 1,409.69 : x
  2. Step 2: Convert to fraction form
    3,055.61/4,576.53 = 1,409.69/x
  3. Step 3: Cross multiply
    3,055.61x = 4,576.53 × 1,409.69
  4. Step 4: Simplify right side
    3,055.61x = 6,451,488.58
  5. Step 5: Solve for x
    x = 6,451,488.58/3,055.61
  6. Step 6: Final answer
    x = 2,111.36

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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.