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Finding the Fourth Proportional to 2,024.84, 3,038.54 and 1,160.84

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Solution

The fourth proportional to 2,024.84, 3,038.54 and 1,160.84 is: 1,741.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024.84 : 3,038.54 = 1,160.84 : x
  2. Step 2: Convert to fraction form
    2,024.84/3,038.54 = 1,160.84/x
  3. Step 3: Cross multiply
    2,024.84x = 3,038.54 × 1,160.84
  4. Step 4: Simplify right side
    2,024.84x = 3,527,258.77
  5. Step 5: Solve for x
    x = 3,527,258.77/2,024.84
  6. Step 6: Final answer
    x = 1,741.99

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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.