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Finding the Fourth Proportional to 3,075.02, 4,612.52 and 1,842.80

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Solution

The fourth proportional to 3,075.02, 4,612.52 and 1,842.80 is: 2,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.02 : 4,612.52 = 1,842.80 : x
  2. Step 2: Convert to fraction form
    3,075.02/4,612.52 = 1,842.80/x
  3. Step 3: Cross multiply
    3,075.02x = 4,612.52 × 1,842.80
  4. Step 4: Simplify right side
    3,075.02x = 8,499,951.86
  5. Step 5: Solve for x
    x = 8,499,951.86/3,075.02
  6. Step 6: Final answer
    x = 2,764.19

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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.