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Finding the Fourth Proportional to 2,860, 4,290.54 and 1,629.16

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Solution

The fourth proportional to 2,860, 4,290.54 and 1,629.16 is: 2,444.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,860 : 4,290.54 = 1,629.16 : x
  2. Step 2: Convert to fraction form
    2,860/4,290.54 = 1,629.16/x
  3. Step 3: Cross multiply
    2,860x = 4,290.54 × 1,629.16
  4. Step 4: Simplify right side
    2,860x = 6,989,976.15
  5. Step 5: Solve for x
    x = 6,989,976.15/2,860
  6. Step 6: Final answer
    x = 2,444.05

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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.