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Finding the Fourth Proportional to 2,980.63, 4,470.72 and 900.58

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Solution

The fourth proportional to 2,980.63, 4,470.72 and 900.58 is: 1,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.63 : 4,470.72 = 900.58 : x
  2. Step 2: Convert to fraction form
    2,980.63/4,470.72 = 900.58/x
  3. Step 3: Cross multiply
    2,980.63x = 4,470.72 × 900.58
  4. Step 4: Simplify right side
    2,980.63x = 4,026,241.02
  5. Step 5: Solve for x
    x = 4,026,241.02/2,980.63
  6. Step 6: Final answer
    x = 1,350.80

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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.