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Finding the Fourth Proportional to 1,710.62, 2,563.80 and 735.59

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Solution

The fourth proportional to 1,710.62, 2,563.80 and 735.59 is: 1,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.62 : 2,563.80 = 735.59 : x
  2. Step 2: Convert to fraction form
    1,710.62/2,563.80 = 735.59/x
  3. Step 3: Cross multiply
    1,710.62x = 2,563.80 × 735.59
  4. Step 4: Simplify right side
    1,710.62x = 1,885,905.64
  5. Step 5: Solve for x
    x = 1,885,905.64/1,710.62
  6. Step 6: Final answer
    x = 1,102.47

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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.