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Finding the Fourth Proportional to 2,386.48, 3,574.44 and 1,834.60

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Solution

The fourth proportional to 2,386.48, 3,574.44 and 1,834.60 is: 2,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.48 : 3,574.44 = 1,834.60 : x
  2. Step 2: Convert to fraction form
    2,386.48/3,574.44 = 1,834.60/x
  3. Step 3: Cross multiply
    2,386.48x = 3,574.44 × 1,834.60
  4. Step 4: Simplify right side
    2,386.48x = 6,557,667.62
  5. Step 5: Solve for x
    x = 6,557,667.62/2,386.48
  6. Step 6: Final answer
    x = 2,747.84

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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.