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Finding the Fourth Proportional to 2,075.32, 3,111.62 and 776.04

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Solution

The fourth proportional to 2,075.32, 3,111.62 and 776.04 is: 1,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.32 : 3,111.62 = 776.04 : x
  2. Step 2: Convert to fraction form
    2,075.32/3,111.62 = 776.04/x
  3. Step 3: Cross multiply
    2,075.32x = 3,111.62 × 776.04
  4. Step 4: Simplify right side
    2,075.32x = 2,414,741.58
  5. Step 5: Solve for x
    x = 2,414,741.58/2,075.32
  6. Step 6: Final answer
    x = 1,163.55

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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.