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Finding the Fourth Proportional to 2,263.94, 3,390.89 and 1,740.08

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Solution

The fourth proportional to 2,263.94, 3,390.89 and 1,740.08 is: 2,606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.94 : 3,390.89 = 1,740.08 : x
  2. Step 2: Convert to fraction form
    2,263.94/3,390.89 = 1,740.08/x
  3. Step 3: Cross multiply
    2,263.94x = 3,390.89 × 1,740.08
  4. Step 4: Simplify right side
    2,263.94x = 5,900,411.17
  5. Step 5: Solve for x
    x = 5,900,411.17/2,263.94
  6. Step 6: Final answer
    x = 2,606.26

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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.