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Finding the Fourth Proportional to 2,138.55, 3,210.77 and 1,478.79

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Solution

The fourth proportional to 2,138.55, 3,210.77 and 1,478.79 is: 2,220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.55 : 3,210.77 = 1,478.79 : x
  2. Step 2: Convert to fraction form
    2,138.55/3,210.77 = 1,478.79/x
  3. Step 3: Cross multiply
    2,138.55x = 3,210.77 × 1,478.79
  4. Step 4: Simplify right side
    2,138.55x = 4,748,054.57
  5. Step 5: Solve for x
    x = 4,748,054.57/2,138.55
  6. Step 6: Final answer
    x = 2,220.22

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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.