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Finding the Fourth Proportional to 2,783.16, 4,166.51 and 1,855.51

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Solution

The fourth proportional to 2,783.16, 4,166.51 and 1,855.51 is: 2,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.16 : 4,166.51 = 1,855.51 : x
  2. Step 2: Convert to fraction form
    2,783.16/4,166.51 = 1,855.51/x
  3. Step 3: Cross multiply
    2,783.16x = 4,166.51 × 1,855.51
  4. Step 4: Simplify right side
    2,783.16x = 7,730,981.28
  5. Step 5: Solve for x
    x = 7,730,981.28/2,783.16
  6. Step 6: Final answer
    x = 2,777.77

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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.