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Finding the Fourth Proportional to 1,642.55, 2,474.89 and 1,465.70

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Solution

The fourth proportional to 1,642.55, 2,474.89 and 1,465.70 is: 2,208.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.55 : 2,474.89 = 1,465.70 : x
  2. Step 2: Convert to fraction form
    1,642.55/2,474.89 = 1,465.70/x
  3. Step 3: Cross multiply
    1,642.55x = 2,474.89 × 1,465.70
  4. Step 4: Simplify right side
    1,642.55x = 3,627,430.23
  5. Step 5: Solve for x
    x = 3,627,430.23/1,642.55
  6. Step 6: Final answer
    x = 2,208.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.