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Finding the Fourth Proportional to 1,881.33, 2,594.64 and 1,410.32

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Solution

The fourth proportional to 1,881.33, 2,594.64 and 1,410.32 is: 1,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.33 : 2,594.64 = 1,410.32 : x
  2. Step 2: Convert to fraction form
    1,881.33/2,594.64 = 1,410.32/x
  3. Step 3: Cross multiply
    1,881.33x = 2,594.64 × 1,410.32
  4. Step 4: Simplify right side
    1,881.33x = 3,659,284.46
  5. Step 5: Solve for x
    x = 3,659,284.46/1,881.33
  6. Step 6: Final answer
    x = 1,945.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.