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Finding the Fourth Proportional to 2,920.52, 4,381.26 and 1,188.76

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Solution

The fourth proportional to 2,920.52, 4,381.26 and 1,188.76 is: 1,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.52 : 4,381.26 = 1,188.76 : x
  2. Step 2: Convert to fraction form
    2,920.52/4,381.26 = 1,188.76/x
  3. Step 3: Cross multiply
    2,920.52x = 4,381.26 × 1,188.76
  4. Step 4: Simplify right side
    2,920.52x = 5,208,266.64
  5. Step 5: Solve for x
    x = 5,208,266.64/2,920.52
  6. Step 6: Final answer
    x = 1,783.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.