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Finding the Fourth Proportional to 4,302.84, 6,454.26 and 1,182.88

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Solution

The fourth proportional to 4,302.84, 6,454.26 and 1,182.88 is: 1,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.84 : 6,454.26 = 1,182.88 : x
  2. Step 2: Convert to fraction form
    4,302.84/6,454.26 = 1,182.88/x
  3. Step 3: Cross multiply
    4,302.84x = 6,454.26 × 1,182.88
  4. Step 4: Simplify right side
    4,302.84x = 7,634,615.07
  5. Step 5: Solve for x
    x = 7,634,615.07/4,302.84
  6. Step 6: Final answer
    x = 1,774.32

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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.