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Finding the Fourth Proportional to 2,844.32, 4,258.62 and 1,454.67

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Solution

The fourth proportional to 2,844.32, 4,258.62 and 1,454.67 is: 2,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844.32 : 4,258.62 = 1,454.67 : x
  2. Step 2: Convert to fraction form
    2,844.32/4,258.62 = 1,454.67/x
  3. Step 3: Cross multiply
    2,844.32x = 4,258.62 × 1,454.67
  4. Step 4: Simplify right side
    2,844.32x = 6,194,886.76
  5. Step 5: Solve for x
    x = 6,194,886.76/2,844.32
  6. Step 6: Final answer
    x = 2,177.99

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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.