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Finding the Fourth Proportional to 2,850.04, 4,275.35 and 770.06

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Solution

The fourth proportional to 2,850.04, 4,275.35 and 770.06 is: 1,155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.04 : 4,275.35 = 770.06 : x
  2. Step 2: Convert to fraction form
    2,850.04/4,275.35 = 770.06/x
  3. Step 3: Cross multiply
    2,850.04x = 4,275.35 × 770.06
  4. Step 4: Simplify right side
    2,850.04x = 3,292,256.57
  5. Step 5: Solve for x
    x = 3,292,256.57/2,850.04
  6. Step 6: Final answer
    x = 1,155.16

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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.