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Finding the Fourth Proportional to 2,033.60, 3,050.42 and 646.92

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Solution

The fourth proportional to 2,033.60, 3,050.42 and 646.92 is: 970.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.60 : 3,050.42 = 646.92 : x
  2. Step 2: Convert to fraction form
    2,033.60/3,050.42 = 646.92/x
  3. Step 3: Cross multiply
    2,033.60x = 3,050.42 × 646.92
  4. Step 4: Simplify right side
    2,033.60x = 1,973,374.47
  5. Step 5: Solve for x
    x = 1,973,374.47/2,033.60
  6. Step 6: Final answer
    x = 970.39

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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.