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Finding the Fourth Proportional to 1,870.94, 2,802.81 and 1,049.79

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Solution

The fourth proportional to 1,870.94, 2,802.81 and 1,049.79 is: 1,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.94 : 2,802.81 = 1,049.79 : x
  2. Step 2: Convert to fraction form
    1,870.94/2,802.81 = 1,049.79/x
  3. Step 3: Cross multiply
    1,870.94x = 2,802.81 × 1,049.79
  4. Step 4: Simplify right side
    1,870.94x = 2,942,361.91
  5. Step 5: Solve for x
    x = 2,942,361.91/1,870.94
  6. Step 6: Final answer
    x = 1,572.67

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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.