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Finding the Fourth Proportional to 2,806.16, 4,209.84 and 1,075.28

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Solution

The fourth proportional to 2,806.16, 4,209.84 and 1,075.28 is: 1,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.16 : 4,209.84 = 1,075.28 : x
  2. Step 2: Convert to fraction form
    2,806.16/4,209.84 = 1,075.28/x
  3. Step 3: Cross multiply
    2,806.16x = 4,209.84 × 1,075.28
  4. Step 4: Simplify right side
    2,806.16x = 4,526,756.76
  5. Step 5: Solve for x
    x = 4,526,756.76/2,806.16
  6. Step 6: Final answer
    x = 1,613.15

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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.