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Finding the Fourth Proportional to 3,075.27, 4,612.89 and 766.77

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Solution

The fourth proportional to 3,075.27, 4,612.89 and 766.77 is: 1,150.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.27 : 4,612.89 = 766.77 : x
  2. Step 2: Convert to fraction form
    3,075.27/4,612.89 = 766.77/x
  3. Step 3: Cross multiply
    3,075.27x = 4,612.89 × 766.77
  4. Step 4: Simplify right side
    3,075.27x = 3,537,025.67
  5. Step 5: Solve for x
    x = 3,537,025.67/3,075.27
  6. Step 6: Final answer
    x = 1,150.15

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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.