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Finding the Fourth Proportional to 1,636.74, 2,258.20 and 928.53

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Solution

The fourth proportional to 1,636.74, 2,258.20 and 928.53 is: 1,281.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.74 : 2,258.20 = 928.53 : x
  2. Step 2: Convert to fraction form
    1,636.74/2,258.20 = 928.53/x
  3. Step 3: Cross multiply
    1,636.74x = 2,258.20 × 928.53
  4. Step 4: Simplify right side
    1,636.74x = 2,096,812.59
  5. Step 5: Solve for x
    x = 2,096,812.59/1,636.74
  6. Step 6: Final answer
    x = 1,281.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.