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Finding the Fourth Proportional to 2,419.90, 3,628.73 and 1,032.57

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Solution

The fourth proportional to 2,419.90, 3,628.73 and 1,032.57 is: 1,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.90 : 3,628.73 = 1,032.57 : x
  2. Step 2: Convert to fraction form
    2,419.90/3,628.73 = 1,032.57/x
  3. Step 3: Cross multiply
    2,419.90x = 3,628.73 × 1,032.57
  4. Step 4: Simplify right side
    2,419.90x = 3,746,920.32
  5. Step 5: Solve for x
    x = 3,746,920.32/2,419.90
  6. Step 6: Final answer
    x = 1,548.38

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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.