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Finding the Fourth Proportional to 2,534.39, 3,803.03 and 2,024.63

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Solution

The fourth proportional to 2,534.39, 3,803.03 and 2,024.63 is: 3,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.39 : 3,803.03 = 2,024.63 : x
  2. Step 2: Convert to fraction form
    2,534.39/3,803.03 = 2,024.63/x
  3. Step 3: Cross multiply
    2,534.39x = 3,803.03 × 2,024.63
  4. Step 4: Simplify right side
    2,534.39x = 7,699,728.63
  5. Step 5: Solve for x
    x = 7,699,728.63/2,534.39
  6. Step 6: Final answer
    x = 3,038.10

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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.