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Finding the Fourth Proportional to 2,033.47, 3,050.53 and 646.80

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Solution

The fourth proportional to 2,033.47, 3,050.53 and 646.80 is: 970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.47 : 3,050.53 = 646.80 : x
  2. Step 2: Convert to fraction form
    2,033.47/3,050.53 = 646.80/x
  3. Step 3: Cross multiply
    2,033.47x = 3,050.53 × 646.80
  4. Step 4: Simplify right side
    2,033.47x = 1,973,081.19
  5. Step 5: Solve for x
    x = 1,973,081.19/2,033.47
  6. Step 6: Final answer
    x = 970.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.