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Finding the Fourth Proportional to 3,122.10, 4,688.10 and 2,894.70

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Solution

The fourth proportional to 3,122.10, 4,688.10 and 2,894.70 is: 4,346.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.10 : 4,688.10 = 2,894.70 : x
  2. Step 2: Convert to fraction form
    3,122.10/4,688.10 = 2,894.70/x
  3. Step 3: Cross multiply
    3,122.10x = 4,688.10 × 2,894.70
  4. Step 4: Simplify right side
    3,122.10x = 13,570,643.07
  5. Step 5: Solve for x
    x = 13,570,643.07/3,122.10
  6. Step 6: Final answer
    x = 4,346.64

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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.