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Finding the Fourth Proportional to 1,870.78, 2,804.04 and 1,138.74

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Solution

The fourth proportional to 1,870.78, 2,804.04 and 1,138.74 is: 1,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870.78 : 2,804.04 = 1,138.74 : x
  2. Step 2: Convert to fraction form
    1,870.78/2,804.04 = 1,138.74/x
  3. Step 3: Cross multiply
    1,870.78x = 2,804.04 × 1,138.74
  4. Step 4: Simplify right side
    1,870.78x = 3,193,072.51
  5. Step 5: Solve for x
    x = 3,193,072.51/1,870.78
  6. Step 6: Final answer
    x = 1,706.81

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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.