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Finding the Fourth Proportional to 2,075.15, 3,112.65 and 842.53

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Solution

The fourth proportional to 2,075.15, 3,112.65 and 842.53 is: 1,263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.15 : 3,112.65 = 842.53 : x
  2. Step 2: Convert to fraction form
    2,075.15/3,112.65 = 842.53/x
  3. Step 3: Cross multiply
    2,075.15x = 3,112.65 × 842.53
  4. Step 4: Simplify right side
    2,075.15x = 2,622,501.00
  5. Step 5: Solve for x
    x = 2,622,501.00/2,075.15
  6. Step 6: Final answer
    x = 1,263.76

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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.