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Finding the Fourth Proportional to 2,538.06, 3,807.33 and 1,152.06

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Solution

The fourth proportional to 2,538.06, 3,807.33 and 1,152.06 is: 1,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.06 : 3,807.33 = 1,152.06 : x
  2. Step 2: Convert to fraction form
    2,538.06/3,807.33 = 1,152.06/x
  3. Step 3: Cross multiply
    2,538.06x = 3,807.33 × 1,152.06
  4. Step 4: Simplify right side
    2,538.06x = 4,386,272.60
  5. Step 5: Solve for x
    x = 4,386,272.60/2,538.06
  6. Step 6: Final answer
    x = 1,728.20

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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.