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Finding the Fourth Proportional to 2,333.58, 3,495.69 and 1,406.33

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Solution

The fourth proportional to 2,333.58, 3,495.69 and 1,406.33 is: 2,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.58 : 3,495.69 = 1,406.33 : x
  2. Step 2: Convert to fraction form
    2,333.58/3,495.69 = 1,406.33/x
  3. Step 3: Cross multiply
    2,333.58x = 3,495.69 × 1,406.33
  4. Step 4: Simplify right side
    2,333.58x = 4,916,089.35
  5. Step 5: Solve for x
    x = 4,916,089.35/2,333.58
  6. Step 6: Final answer
    x = 2,106.68

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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.