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Finding the Fourth Proportional to 1,378.09, 1,900.82 and 880.51

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Solution

The fourth proportional to 1,378.09, 1,900.82 and 880.51 is: 1,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.09 : 1,900.82 = 880.51 : x
  2. Step 2: Convert to fraction form
    1,378.09/1,900.82 = 880.51/x
  3. Step 3: Cross multiply
    1,378.09x = 1,900.82 × 880.51
  4. Step 4: Simplify right side
    1,378.09x = 1,673,691.02
  5. Step 5: Solve for x
    x = 1,673,691.02/1,378.09
  6. Step 6: Final answer
    x = 1,214.50

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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.