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Finding the Fourth Proportional to 2,538.02, 3,807.04 and 1,562.08

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Solution

The fourth proportional to 2,538.02, 3,807.04 and 1,562.08 is: 2,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.02 : 3,807.04 = 1,562.08 : x
  2. Step 2: Convert to fraction form
    2,538.02/3,807.04 = 1,562.08/x
  3. Step 3: Cross multiply
    2,538.02x = 3,807.04 × 1,562.08
  4. Step 4: Simplify right side
    2,538.02x = 5,946,874.20
  5. Step 5: Solve for x
    x = 5,946,874.20/2,538.02
  6. Step 6: Final answer
    x = 2,343.12

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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.