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Finding the Fourth Proportional to 1,905.32, 2,856.01 and 930.21

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Solution

The fourth proportional to 1,905.32, 2,856.01 and 930.21 is: 1,394.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.32 : 2,856.01 = 930.21 : x
  2. Step 2: Convert to fraction form
    1,905.32/2,856.01 = 930.21/x
  3. Step 3: Cross multiply
    1,905.32x = 2,856.01 × 930.21
  4. Step 4: Simplify right side
    1,905.32x = 2,656,689.06
  5. Step 5: Solve for x
    x = 2,656,689.06/1,905.32
  6. Step 6: Final answer
    x = 1,394.35

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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.