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Finding the Fourth Proportional to 2,035.18, 2,806.95 and 1,405.95

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Solution

The fourth proportional to 2,035.18, 2,806.95 and 1,405.95 is: 1,939.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035.18 : 2,806.95 = 1,405.95 : x
  2. Step 2: Convert to fraction form
    2,035.18/2,806.95 = 1,405.95/x
  3. Step 3: Cross multiply
    2,035.18x = 2,806.95 × 1,405.95
  4. Step 4: Simplify right side
    2,035.18x = 3,946,431.35
  5. Step 5: Solve for x
    x = 3,946,431.35/2,035.18
  6. Step 6: Final answer
    x = 1,939.11

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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.