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Finding the Fourth Proportional to 2,055.55, 3,084.03 and 1,129.93

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Solution

The fourth proportional to 2,055.55, 3,084.03 and 1,129.93 is: 1,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.55 : 3,084.03 = 1,129.93 : x
  2. Step 2: Convert to fraction form
    2,055.55/3,084.03 = 1,129.93/x
  3. Step 3: Cross multiply
    2,055.55x = 3,084.03 × 1,129.93
  4. Step 4: Simplify right side
    2,055.55x = 3,484,738.02
  5. Step 5: Solve for x
    x = 3,484,738.02/2,055.55
  6. Step 6: Final answer
    x = 1,695.28

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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.