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Finding the Fourth Proportional to 3,085.76, 4,628.56 and 1,441.40

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Solution

The fourth proportional to 3,085.76, 4,628.56 and 1,441.40 is: 2,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.76 : 4,628.56 = 1,441.40 : x
  2. Step 2: Convert to fraction form
    3,085.76/4,628.56 = 1,441.40/x
  3. Step 3: Cross multiply
    3,085.76x = 4,628.56 × 1,441.40
  4. Step 4: Simplify right side
    3,085.76x = 6,671,606.38
  5. Step 5: Solve for x
    x = 6,671,606.38/3,085.76
  6. Step 6: Final answer
    x = 2,162.06

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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.