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Finding the Fourth Proportional to 3,088.70, 4,635.49 and 1,141.46

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Solution

The fourth proportional to 3,088.70, 4,635.49 and 1,141.46 is: 1,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,088.70 : 4,635.49 = 1,141.46 : x
  2. Step 2: Convert to fraction form
    3,088.70/4,635.49 = 1,141.46/x
  3. Step 3: Cross multiply
    3,088.70x = 4,635.49 × 1,141.46
  4. Step 4: Simplify right side
    3,088.70x = 5,291,220.71
  5. Step 5: Solve for x
    x = 5,291,220.71/3,088.70
  6. Step 6: Final answer
    x = 1,713.09

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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.