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Finding the Fourth Proportional to 1,636.57, 2,258.51 and 928.40

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Solution

The fourth proportional to 1,636.57, 2,258.51 and 928.40 is: 1,281.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.57 : 2,258.51 = 928.40 : x
  2. Step 2: Convert to fraction form
    1,636.57/2,258.51 = 928.40/x
  3. Step 3: Cross multiply
    1,636.57x = 2,258.51 × 928.40
  4. Step 4: Simplify right side
    1,636.57x = 2,096,800.68
  5. Step 5: Solve for x
    x = 2,096,800.68/1,636.57
  6. Step 6: Final answer
    x = 1,281.22

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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.