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Finding the Fourth Proportional to 3,075.10, 4,612.66 and 766.60

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Solution

The fourth proportional to 3,075.10, 4,612.66 and 766.60 is: 1,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.10 : 4,612.66 = 766.60 : x
  2. Step 2: Convert to fraction form
    3,075.10/4,612.66 = 766.60/x
  3. Step 3: Cross multiply
    3,075.10x = 4,612.66 × 766.60
  4. Step 4: Simplify right side
    3,075.10x = 3,536,065.16
  5. Step 5: Solve for x
    x = 3,536,065.16/3,075.10
  6. Step 6: Final answer
    x = 1,149.90

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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.