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Finding the Fourth Proportional to 2,333.98, 3,483.89 and 2,057.20

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Solution

The fourth proportional to 2,333.98, 3,483.89 and 2,057.20 is: 3,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,333.98 : 3,483.89 = 2,057.20 : x
  2. Step 2: Convert to fraction form
    2,333.98/3,483.89 = 2,057.20/x
  3. Step 3: Cross multiply
    2,333.98x = 3,483.89 × 2,057.20
  4. Step 4: Simplify right side
    2,333.98x = 7,167,058.51
  5. Step 5: Solve for x
    x = 7,167,058.51/2,333.98
  6. Step 6: Final answer
    x = 3,070.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.