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Finding the Fourth Proportional to 3,102.18, 4,280.00 and 1,775.40

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Solution

The fourth proportional to 3,102.18, 4,280.00 and 1,775.40 is: 2,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.18 : 4,280.00 = 1,775.40 : x
  2. Step 2: Convert to fraction form
    3,102.18/4,280.00 = 1,775.40/x
  3. Step 3: Cross multiply
    3,102.18x = 4,280.00 × 1,775.40
  4. Step 4: Simplify right side
    3,102.18x = 7,598,703.12
  5. Step 5: Solve for x
    x = 7,598,703.12/3,102.18
  6. Step 6: Final answer
    x = 2,449.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.