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Finding the Fourth Proportional to 1,559.75, 2,151.41 and 1,506.29

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Solution

The fourth proportional to 1,559.75, 2,151.41 and 1,506.29 is: 2,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.75 : 2,151.41 = 1,506.29 : x
  2. Step 2: Convert to fraction form
    1,559.75/2,151.41 = 1,506.29/x
  3. Step 3: Cross multiply
    1,559.75x = 2,151.41 × 1,506.29
  4. Step 4: Simplify right side
    1,559.75x = 3,240,629.08
  5. Step 5: Solve for x
    x = 3,240,629.08/1,559.75
  6. Step 6: Final answer
    x = 2,077.67

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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.