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Finding the Fourth Proportional to 2,686.37, 4,030.16 and 1,454.90

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Solution

The fourth proportional to 2,686.37, 4,030.16 and 1,454.90 is: 2,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.37 : 4,030.16 = 1,454.90 : x
  2. Step 2: Convert to fraction form
    2,686.37/4,030.16 = 1,454.90/x
  3. Step 3: Cross multiply
    2,686.37x = 4,030.16 × 1,454.90
  4. Step 4: Simplify right side
    2,686.37x = 5,863,452.36
  5. Step 5: Solve for x
    x = 5,863,452.36/2,686.37
  6. Step 6: Final answer
    x = 2,182.67

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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.