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Finding the Fourth Proportional to 2,075.94, 3,113.88 and 777.36

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Solution

The fourth proportional to 2,075.94, 3,113.88 and 777.36 is: 1,166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.94 : 3,113.88 = 777.36 : x
  2. Step 2: Convert to fraction form
    2,075.94/3,113.88 = 777.36/x
  3. Step 3: Cross multiply
    2,075.94x = 3,113.88 × 777.36
  4. Step 4: Simplify right side
    2,075.94x = 2,420,605.76
  5. Step 5: Solve for x
    x = 2,420,605.76/2,075.94
  6. Step 6: Final answer
    x = 1,166.03

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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.