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Finding the Fourth Proportional to 1,645.89, 2,269.98 and 1,070.79

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Solution

The fourth proportional to 1,645.89, 2,269.98 and 1,070.79 is: 1,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.89 : 2,269.98 = 1,070.79 : x
  2. Step 2: Convert to fraction form
    1,645.89/2,269.98 = 1,070.79/x
  3. Step 3: Cross multiply
    1,645.89x = 2,269.98 × 1,070.79
  4. Step 4: Simplify right side
    1,645.89x = 2,430,671.88
  5. Step 5: Solve for x
    x = 2,430,671.88/1,645.89
  6. Step 6: Final answer
    x = 1,476.81

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