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Finding the Fourth Proportional to 2,945.81, 4,064.76 and 1,884.53

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Solution

The fourth proportional to 2,945.81, 4,064.76 and 1,884.53 is: 2,600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945.81 : 4,064.76 = 1,884.53 : x
  2. Step 2: Convert to fraction form
    2,945.81/4,064.76 = 1,884.53/x
  3. Step 3: Cross multiply
    2,945.81x = 4,064.76 × 1,884.53
  4. Step 4: Simplify right side
    2,945.81x = 7,660,141.84
  5. Step 5: Solve for x
    x = 7,660,141.84/2,945.81
  6. Step 6: Final answer
    x = 2,600.35

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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.