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Finding the Fourth Proportional to 3,033.63, 4,547.61 and 1,644.93

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Solution

The fourth proportional to 3,033.63, 4,547.61 and 1,644.93 is: 2,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.63 : 4,547.61 = 1,644.93 : x
  2. Step 2: Convert to fraction form
    3,033.63/4,547.61 = 1,644.93/x
  3. Step 3: Cross multiply
    3,033.63x = 4,547.61 × 1,644.93
  4. Step 4: Simplify right side
    3,033.63x = 7,480,500.12
  5. Step 5: Solve for x
    x = 7,480,500.12/3,033.63
  6. Step 6: Final answer
    x = 2,465.86

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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.