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Finding the Fourth Proportional to 4,302.88, 6,454.08 and 1,182.83

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Solution

The fourth proportional to 4,302.88, 6,454.08 and 1,182.83 is: 1,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.88 : 6,454.08 = 1,182.83 : x
  2. Step 2: Convert to fraction form
    4,302.88/6,454.08 = 1,182.83/x
  3. Step 3: Cross multiply
    4,302.88x = 6,454.08 × 1,182.83
  4. Step 4: Simplify right side
    4,302.88x = 7,634,047.18
  5. Step 5: Solve for x
    x = 7,634,047.18/4,302.88
  6. Step 6: Final answer
    x = 1,774.17

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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.