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Finding the Fourth Proportional to 4,453.60, 6,674.32 and 1,677.48

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Solution

The fourth proportional to 4,453.60, 6,674.32 and 1,677.48 is: 2,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.60 : 6,674.32 = 1,677.48 : x
  2. Step 2: Convert to fraction form
    4,453.60/6,674.32 = 1,677.48/x
  3. Step 3: Cross multiply
    4,453.60x = 6,674.32 × 1,677.48
  4. Step 4: Simplify right side
    4,453.60x = 11,196,038.31
  5. Step 5: Solve for x
    x = 11,196,038.31/4,453.60
  6. Step 6: Final answer
    x = 2,513.93

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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.