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Finding the Fourth Proportional to 1,428.21, 1,970.96 and 1,009.30

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Solution

The fourth proportional to 1,428.21, 1,970.96 and 1,009.30 is: 1,392.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.21 : 1,970.96 = 1,009.30 : x
  2. Step 2: Convert to fraction form
    1,428.21/1,970.96 = 1,009.30/x
  3. Step 3: Cross multiply
    1,428.21x = 1,970.96 × 1,009.30
  4. Step 4: Simplify right side
    1,428.21x = 1,989,283.72
  5. Step 5: Solve for x
    x = 1,989,283.72/1,428.21
  6. Step 6: Final answer
    x = 1,392.85

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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.