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Finding the Fourth Proportional to 1,424.54, 1,966.20 and 1,030.88

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Solution

The fourth proportional to 1,424.54, 1,966.20 and 1,030.88 is: 1,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.54 : 1,966.20 = 1,030.88 : x
  2. Step 2: Convert to fraction form
    1,424.54/1,966.20 = 1,030.88/x
  3. Step 3: Cross multiply
    1,424.54x = 1,966.20 × 1,030.88
  4. Step 4: Simplify right side
    1,424.54x = 2,026,916.26
  5. Step 5: Solve for x
    x = 2,026,916.26/1,424.54
  6. Step 6: Final answer
    x = 1,422.86

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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.