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Finding the Fourth Proportional to 1,750.44, 2,625.70 and 1,402.17

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Solution

The fourth proportional to 1,750.44, 2,625.70 and 1,402.17 is: 2,103.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.44 : 2,625.70 = 1,402.17 : x
  2. Step 2: Convert to fraction form
    1,750.44/2,625.70 = 1,402.17/x
  3. Step 3: Cross multiply
    1,750.44x = 2,625.70 × 1,402.17
  4. Step 4: Simplify right side
    1,750.44x = 3,681,677.77
  5. Step 5: Solve for x
    x = 3,681,677.77/1,750.44
  6. Step 6: Final answer
    x = 2,103.29

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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.