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Finding the Fourth Proportional to 1,659.30, 2,258.16 and 1,659.30

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Solution

The fourth proportional to 1,659.30, 2,258.16 and 1,659.30 is: 2,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.30 : 2,258.16 = 1,659.30 : x
  2. Step 2: Convert to fraction form
    1,659.30/2,258.16 = 1,659.30/x
  3. Step 3: Cross multiply
    1,659.30x = 2,258.16 × 1,659.30
  4. Step 4: Simplify right side
    1,659.30x = 3,746,964.89
  5. Step 5: Solve for x
    x = 3,746,964.89/1,659.30
  6. Step 6: Final answer
    x = 2,258.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.