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Finding the Fourth Proportional to 1,441.76, 1,989.05 and 910.51

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Solution

The fourth proportional to 1,441.76, 1,989.05 and 910.51 is: 1,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.76 : 1,989.05 = 910.51 : x
  2. Step 2: Convert to fraction form
    1,441.76/1,989.05 = 910.51/x
  3. Step 3: Cross multiply
    1,441.76x = 1,989.05 × 910.51
  4. Step 4: Simplify right side
    1,441.76x = 1,811,040.39
  5. Step 5: Solve for x
    x = 1,811,040.39/1,441.76
  6. Step 6: Final answer
    x = 1,256.14

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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.