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Finding the Fourth Proportional to 1,763.98, 2,645.60 and 1,023.10

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Solution

The fourth proportional to 1,763.98, 2,645.60 and 1,023.10 is: 1,534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.98 : 2,645.60 = 1,023.10 : x
  2. Step 2: Convert to fraction form
    1,763.98/2,645.60 = 1,023.10/x
  3. Step 3: Cross multiply
    1,763.98x = 2,645.60 × 1,023.10
  4. Step 4: Simplify right side
    1,763.98x = 2,706,701.63
  5. Step 5: Solve for x
    x = 2,706,701.63/1,763.98
  6. Step 6: Final answer
    x = 1,534.43

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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.