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Finding the Fourth Proportional to 2,693.60, 3,718.16 and 2,365.52

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Solution

The fourth proportional to 2,693.60, 3,718.16 and 2,365.52 is: 3,265.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.60 : 3,718.16 = 2,365.52 : x
  2. Step 2: Convert to fraction form
    2,693.60/3,718.16 = 2,365.52/x
  3. Step 3: Cross multiply
    2,693.60x = 3,718.16 × 2,365.52
  4. Step 4: Simplify right side
    2,693.60x = 8,795,381.84
  5. Step 5: Solve for x
    x = 8,795,381.84/2,693.60
  6. Step 6: Final answer
    x = 3,265.29

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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.