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Finding the Fourth Proportional to 2,907.74, 4,358.44 and 1,427.98

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Solution

The fourth proportional to 2,907.74, 4,358.44 and 1,427.98 is: 2,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.74 : 4,358.44 = 1,427.98 : x
  2. Step 2: Convert to fraction form
    2,907.74/4,358.44 = 1,427.98/x
  3. Step 3: Cross multiply
    2,907.74x = 4,358.44 × 1,427.98
  4. Step 4: Simplify right side
    2,907.74x = 6,223,750.69
  5. Step 5: Solve for x
    x = 6,223,750.69/2,907.74
  6. Step 6: Final answer
    x = 2,140.41

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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.