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Finding the Fourth Proportional to 2,534.04, 3,803.10 and 1,074.22

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Solution

The fourth proportional to 2,534.04, 3,803.10 and 1,074.22 is: 1,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.04 : 3,803.10 = 1,074.22 : x
  2. Step 2: Convert to fraction form
    2,534.04/3,803.10 = 1,074.22/x
  3. Step 3: Cross multiply
    2,534.04x = 3,803.10 × 1,074.22
  4. Step 4: Simplify right side
    2,534.04x = 4,085,366.08
  5. Step 5: Solve for x
    x = 4,085,366.08/2,534.04
  6. Step 6: Final answer
    x = 1,612.19

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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.