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Finding the Fourth Proportional to 2,106.54, 2,911.55 and 1,581.66

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Solution

The fourth proportional to 2,106.54, 2,911.55 and 1,581.66 is: 2,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.54 : 2,911.55 = 1,581.66 : x
  2. Step 2: Convert to fraction form
    2,106.54/2,911.55 = 1,581.66/x
  3. Step 3: Cross multiply
    2,106.54x = 2,911.55 × 1,581.66
  4. Step 4: Simplify right side
    2,106.54x = 4,605,074.26
  5. Step 5: Solve for x
    x = 4,605,074.26/2,106.54
  6. Step 6: Final answer
    x = 2,186.08

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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.