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Finding the Fourth Proportional to 2,801.06, 4,197.74 and 1,415.32

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Solution

The fourth proportional to 2,801.06, 4,197.74 and 1,415.32 is: 2,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.06 : 4,197.74 = 1,415.32 : x
  2. Step 2: Convert to fraction form
    2,801.06/4,197.74 = 1,415.32/x
  3. Step 3: Cross multiply
    2,801.06x = 4,197.74 × 1,415.32
  4. Step 4: Simplify right side
    2,801.06x = 5,941,127.81
  5. Step 5: Solve for x
    x = 5,941,127.81/2,801.06
  6. Step 6: Final answer
    x = 2,121.03

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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.