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Finding the Fourth Proportional to 2,931.54, 4,378.15 and 2,347.43

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Solution

The fourth proportional to 2,931.54, 4,378.15 and 2,347.43 is: 3,505.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.54 : 4,378.15 = 2,347.43 : x
  2. Step 2: Convert to fraction form
    2,931.54/4,378.15 = 2,347.43/x
  3. Step 3: Cross multiply
    2,931.54x = 4,378.15 × 2,347.43
  4. Step 4: Simplify right side
    2,931.54x = 10,277,406.33
  5. Step 5: Solve for x
    x = 10,277,406.33/2,931.54
  6. Step 6: Final answer
    x = 3,505.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.