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Finding the Fourth Proportional to 2,358.10, 3,537.16 and 1,918.84

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Solution

The fourth proportional to 2,358.10, 3,537.16 and 1,918.84 is: 2,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.10 : 3,537.16 = 1,918.84 : x
  2. Step 2: Convert to fraction form
    2,358.10/3,537.16 = 1,918.84/x
  3. Step 3: Cross multiply
    2,358.10x = 3,537.16 × 1,918.84
  4. Step 4: Simplify right side
    2,358.10x = 6,787,244.09
  5. Step 5: Solve for x
    x = 6,787,244.09/2,358.10
  6. Step 6: Final answer
    x = 2,878.27

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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.