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Finding the Fourth Proportional to 2,277.81, 3,416.70 and 1,303.22

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Solution

The fourth proportional to 2,277.81, 3,416.70 and 1,303.22 is: 1,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.81 : 3,416.70 = 1,303.22 : x
  2. Step 2: Convert to fraction form
    2,277.81/3,416.70 = 1,303.22/x
  3. Step 3: Cross multiply
    2,277.81x = 3,416.70 × 1,303.22
  4. Step 4: Simplify right side
    2,277.81x = 4,452,711.77
  5. Step 5: Solve for x
    x = 4,452,711.77/2,277.81
  6. Step 6: Final answer
    x = 1,954.82

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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.