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Finding the Fourth Proportional to 4,465.82, 6,699.05 and 1,178.88

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Solution

The fourth proportional to 4,465.82, 6,699.05 and 1,178.88 is: 1,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.82 : 6,699.05 = 1,178.88 : x
  2. Step 2: Convert to fraction form
    4,465.82/6,699.05 = 1,178.88/x
  3. Step 3: Cross multiply
    4,465.82x = 6,699.05 × 1,178.88
  4. Step 4: Simplify right side
    4,465.82x = 7,897,376.06
  5. Step 5: Solve for x
    x = 7,897,376.06/4,465.82
  6. Step 6: Final answer
    x = 1,768.40

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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.