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Finding the Fourth Proportional to 1,645.39, 2,270.90 and 1,056.55

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Solution

The fourth proportional to 1,645.39, 2,270.90 and 1,056.55 is: 1,458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.39 : 2,270.90 = 1,056.55 : x
  2. Step 2: Convert to fraction form
    1,645.39/2,270.90 = 1,056.55/x
  3. Step 3: Cross multiply
    1,645.39x = 2,270.90 × 1,056.55
  4. Step 4: Simplify right side
    1,645.39x = 2,399,319.40
  5. Step 5: Solve for x
    x = 2,399,319.40/1,645.39
  6. Step 6: Final answer
    x = 1,458.21

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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.