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Finding the Fourth Proportional to 2,777.80, 4,166.70 and 1,133.45

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Solution

The fourth proportional to 2,777.80, 4,166.70 and 1,133.45 is: 1,700.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.80 : 4,166.70 = 1,133.45 : x
  2. Step 2: Convert to fraction form
    2,777.80/4,166.70 = 1,133.45/x
  3. Step 3: Cross multiply
    2,777.80x = 4,166.70 × 1,133.45
  4. Step 4: Simplify right side
    2,777.80x = 4,722,746.12
  5. Step 5: Solve for x
    x = 4,722,746.12/2,777.80
  6. Step 6: Final answer
    x = 1,700.18

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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.