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Finding the Fourth Proportional to 2,079.81, 2,870.14 and 1,148.31

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Solution

The fourth proportional to 2,079.81, 2,870.14 and 1,148.31 is: 1,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.81 : 2,870.14 = 1,148.31 : x
  2. Step 2: Convert to fraction form
    2,079.81/2,870.14 = 1,148.31/x
  3. Step 3: Cross multiply
    2,079.81x = 2,870.14 × 1,148.31
  4. Step 4: Simplify right side
    2,079.81x = 3,295,810.46
  5. Step 5: Solve for x
    x = 3,295,810.46/2,079.81
  6. Step 6: Final answer
    x = 1,584.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.