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Finding the Fourth Proportional to 2,038.04, 3,057.08 and 577.22

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Solution

The fourth proportional to 2,038.04, 3,057.08 and 577.22 is: 865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.04 : 3,057.08 = 577.22 : x
  2. Step 2: Convert to fraction form
    2,038.04/3,057.08 = 577.22/x
  3. Step 3: Cross multiply
    2,038.04x = 3,057.08 × 577.22
  4. Step 4: Simplify right side
    2,038.04x = 1,764,607.72
  5. Step 5: Solve for x
    x = 1,764,607.72/2,038.04
  6. Step 6: Final answer
    x = 865.84

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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.