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Finding the Fourth Proportional to 2,365.71, 3,264.21 and 1,317.57

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Solution

The fourth proportional to 2,365.71, 3,264.21 and 1,317.57 is: 1,817.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.71 : 3,264.21 = 1,317.57 : x
  2. Step 2: Convert to fraction form
    2,365.71/3,264.21 = 1,317.57/x
  3. Step 3: Cross multiply
    2,365.71x = 3,264.21 × 1,317.57
  4. Step 4: Simplify right side
    2,365.71x = 4,300,825.17
  5. Step 5: Solve for x
    x = 4,300,825.17/2,365.71
  6. Step 6: Final answer
    x = 1,817.98

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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.