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Finding the Fourth Proportional to 1,417.28, 2,125.38 and 930.20

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Solution

The fourth proportional to 1,417.28, 2,125.38 and 930.20 is: 1,394.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.28 : 2,125.38 = 930.20 : x
  2. Step 2: Convert to fraction form
    1,417.28/2,125.38 = 930.20/x
  3. Step 3: Cross multiply
    1,417.28x = 2,125.38 × 930.20
  4. Step 4: Simplify right side
    1,417.28x = 1,977,028.48
  5. Step 5: Solve for x
    x = 1,977,028.48/1,417.28
  6. Step 6: Final answer
    x = 1,394.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.