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Finding the Fourth Proportional to 4,106.19, 6,154.12 and 1,763.43

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Solution

The fourth proportional to 4,106.19, 6,154.12 and 1,763.43 is: 2,642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.19 : 6,154.12 = 1,763.43 : x
  2. Step 2: Convert to fraction form
    4,106.19/6,154.12 = 1,763.43/x
  3. Step 3: Cross multiply
    4,106.19x = 6,154.12 × 1,763.43
  4. Step 4: Simplify right side
    4,106.19x = 10,852,359.83
  5. Step 5: Solve for x
    x = 10,852,359.83/4,106.19
  6. Step 6: Final answer
    x = 2,642.93

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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.