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Finding the Fourth Proportional to 2,412.96, 3,329.82 and 1,365

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Solution

The fourth proportional to 2,412.96, 3,329.82 and 1,365 is: 1,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.96 : 3,329.82 = 1,365 : x
  2. Step 2: Convert to fraction form
    2,412.96/3,329.82 = 1,365/x
  3. Step 3: Cross multiply
    2,412.96x = 3,329.82 × 1,365
  4. Step 4: Simplify right side
    2,412.96x = 4,545,204.30
  5. Step 5: Solve for x
    x = 4,545,204.30/2,412.96
  6. Step 6: Final answer
    x = 1,883.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.