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Finding the Fourth Proportional to 3,069.28, 4,235.58 and 1,672

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Solution

The fourth proportional to 3,069.28, 4,235.58 and 1,672 is: 2,307.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.28 : 4,235.58 = 1,672 : x
  2. Step 2: Convert to fraction form
    3,069.28/4,235.58 = 1,672/x
  3. Step 3: Cross multiply
    3,069.28x = 4,235.58 × 1,672
  4. Step 4: Simplify right side
    3,069.28x = 7,081,889.76
  5. Step 5: Solve for x
    x = 7,081,889.76/3,069.28
  6. Step 6: Final answer
    x = 2,307.35

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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.