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Finding the Fourth Proportional to 2,951.54, 4,074.73 and 2,154.01

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Solution

The fourth proportional to 2,951.54, 4,074.73 and 2,154.01 is: 2,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.54 : 4,074.73 = 2,154.01 : x
  2. Step 2: Convert to fraction form
    2,951.54/4,074.73 = 2,154.01/x
  3. Step 3: Cross multiply
    2,951.54x = 4,074.73 × 2,154.01
  4. Step 4: Simplify right side
    2,951.54x = 8,776,990.10
  5. Step 5: Solve for x
    x = 8,776,990.10/2,951.54
  6. Step 6: Final answer
    x = 2,973.70

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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.