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Finding the Fourth Proportional to 4,488.96, 6,732.64 and 1,202.40

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Solution

The fourth proportional to 4,488.96, 6,732.64 and 1,202.40 is: 1,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,488.96 : 6,732.64 = 1,202.40 : x
  2. Step 2: Convert to fraction form
    4,488.96/6,732.64 = 1,202.40/x
  3. Step 3: Cross multiply
    4,488.96x = 6,732.64 × 1,202.40
  4. Step 4: Simplify right side
    4,488.96x = 8,095,326.34
  5. Step 5: Solve for x
    x = 8,095,326.34/4,488.96
  6. Step 6: Final answer
    x = 1,803.39

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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.