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Finding the Fourth Proportional to 2,907.60, 4,355.34 and 2,288.34

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Solution

The fourth proportional to 2,907.60, 4,355.34 and 2,288.34 is: 3,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.60 : 4,355.34 = 2,288.34 : x
  2. Step 2: Convert to fraction form
    2,907.60/4,355.34 = 2,288.34/x
  3. Step 3: Cross multiply
    2,907.60x = 4,355.34 × 2,288.34
  4. Step 4: Simplify right side
    2,907.60x = 9,966,498.74
  5. Step 5: Solve for x
    x = 9,966,498.74/2,907.60
  6. Step 6: Final answer
    x = 3,427.74

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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.