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Finding the Fourth Proportional to 2,806.63, 4,210.55 and 1,075.25

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Solution

The fourth proportional to 2,806.63, 4,210.55 and 1,075.25 is: 1,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806.63 : 4,210.55 = 1,075.25 : x
  2. Step 2: Convert to fraction form
    2,806.63/4,210.55 = 1,075.25/x
  3. Step 3: Cross multiply
    2,806.63x = 4,210.55 × 1,075.25
  4. Step 4: Simplify right side
    2,806.63x = 4,527,393.89
  5. Step 5: Solve for x
    x = 4,527,393.89/2,806.63
  6. Step 6: Final answer
    x = 1,613.11

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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.