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Finding the Fourth Proportional to 2,107.36, 2,906.40 and 1,582.48

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Solution

The fourth proportional to 2,107.36, 2,906.40 and 1,582.48 is: 2,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.36 : 2,906.40 = 1,582.48 : x
  2. Step 2: Convert to fraction form
    2,107.36/2,906.40 = 1,582.48/x
  3. Step 3: Cross multiply
    2,107.36x = 2,906.40 × 1,582.48
  4. Step 4: Simplify right side
    2,107.36x = 4,599,312.61
  5. Step 5: Solve for x
    x = 4,599,312.61/2,107.36
  6. Step 6: Final answer
    x = 2,182.50

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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.