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Finding the Fourth Proportional to 2,038.03, 3,056.54 and 577.19

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Solution

The fourth proportional to 2,038.03, 3,056.54 and 577.19 is: 865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.03 : 3,056.54 = 577.19 : x
  2. Step 2: Convert to fraction form
    2,038.03/3,056.54 = 577.19/x
  3. Step 3: Cross multiply
    2,038.03x = 3,056.54 × 577.19
  4. Step 4: Simplify right side
    2,038.03x = 1,764,209.08
  5. Step 5: Solve for x
    x = 1,764,209.08/2,038.03
  6. Step 6: Final answer
    x = 865.65

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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.