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Finding the Fourth Proportional to 3,490.95, 4,816.64 and 2,074.04

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Solution

The fourth proportional to 3,490.95, 4,816.64 and 2,074.04 is: 2,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.95 : 4,816.64 = 2,074.04 : x
  2. Step 2: Convert to fraction form
    3,490.95/4,816.64 = 2,074.04/x
  3. Step 3: Cross multiply
    3,490.95x = 4,816.64 × 2,074.04
  4. Step 4: Simplify right side
    3,490.95x = 9,989,904.03
  5. Step 5: Solve for x
    x = 9,989,904.03/3,490.95
  6. Step 6: Final answer
    x = 2,861.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.