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Finding the Fourth Proportional to 3,137.51, 4,705.46 and 1,490.78

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Solution

The fourth proportional to 3,137.51, 4,705.46 and 1,490.78 is: 2,235.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.51 : 4,705.46 = 1,490.78 : x
  2. Step 2: Convert to fraction form
    3,137.51/4,705.46 = 1,490.78/x
  3. Step 3: Cross multiply
    3,137.51x = 4,705.46 × 1,490.78
  4. Step 4: Simplify right side
    3,137.51x = 7,014,798.20
  5. Step 5: Solve for x
    x = 7,014,798.20/3,137.51
  6. Step 6: Final answer
    x = 2,235.79

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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.