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Finding the Fourth Proportional to 1,710.40, 2,563.21 and 978.43

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Solution

The fourth proportional to 1,710.40, 2,563.21 and 978.43 is: 1,466.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.40 : 2,563.21 = 978.43 : x
  2. Step 2: Convert to fraction form
    1,710.40/2,563.21 = 978.43/x
  3. Step 3: Cross multiply
    1,710.40x = 2,563.21 × 978.43
  4. Step 4: Simplify right side
    1,710.40x = 2,507,921.56
  5. Step 5: Solve for x
    x = 2,507,921.56/1,710.40
  6. Step 6: Final answer
    x = 1,466.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.