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Finding the Fourth Proportional to 1,662.40, 2,284.94 and 1,464.76

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Solution

The fourth proportional to 1,662.40, 2,284.94 and 1,464.76 is: 2,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.40 : 2,284.94 = 1,464.76 : x
  2. Step 2: Convert to fraction form
    1,662.40/2,284.94 = 1,464.76/x
  3. Step 3: Cross multiply
    1,662.40x = 2,284.94 × 1,464.76
  4. Step 4: Simplify right side
    1,662.40x = 3,346,888.71
  5. Step 5: Solve for x
    x = 3,346,888.71/1,662.40
  6. Step 6: Final answer
    x = 2,013.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.