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Finding the Fourth Proportional to 2,075.06, 3,112.60 and 515.10

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Solution

The fourth proportional to 2,075.06, 3,112.60 and 515.10 is: 772.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.06 : 3,112.60 = 515.10 : x
  2. Step 2: Convert to fraction form
    2,075.06/3,112.60 = 515.10/x
  3. Step 3: Cross multiply
    2,075.06x = 3,112.60 × 515.10
  4. Step 4: Simplify right side
    2,075.06x = 1,603,300.26
  5. Step 5: Solve for x
    x = 1,603,300.26/2,075.06
  6. Step 6: Final answer
    x = 772.65

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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.