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Finding the Fourth Proportional to 3,014.42, 4,160.03 and 1,894.93

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Solution

The fourth proportional to 3,014.42, 4,160.03 and 1,894.93 is: 2,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.42 : 4,160.03 = 1,894.93 : x
  2. Step 2: Convert to fraction form
    3,014.42/4,160.03 = 1,894.93/x
  3. Step 3: Cross multiply
    3,014.42x = 4,160.03 × 1,894.93
  4. Step 4: Simplify right side
    3,014.42x = 7,882,945.77
  5. Step 5: Solve for x
    x = 7,882,945.77/3,014.42
  6. Step 6: Final answer
    x = 2,615.08

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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.