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Finding the Fourth Proportional to 1,490.35, 2,057.01 and 993.01

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Solution

The fourth proportional to 1,490.35, 2,057.01 and 993.01 is: 1,370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.35 : 2,057.01 = 993.01 : x
  2. Step 2: Convert to fraction form
    1,490.35/2,057.01 = 993.01/x
  3. Step 3: Cross multiply
    1,490.35x = 2,057.01 × 993.01
  4. Step 4: Simplify right side
    1,490.35x = 2,042,631.50
  5. Step 5: Solve for x
    x = 2,042,631.50/1,490.35
  6. Step 6: Final answer
    x = 1,370.57

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Why These Related Problems?

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