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Finding the Fourth Proportional to 1,656.54, 2,287.05 and 1,258.23

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Solution

The fourth proportional to 1,656.54, 2,287.05 and 1,258.23 is: 1,737.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.54 : 2,287.05 = 1,258.23 : x
  2. Step 2: Convert to fraction form
    1,656.54/2,287.05 = 1,258.23/x
  3. Step 3: Cross multiply
    1,656.54x = 2,287.05 × 1,258.23
  4. Step 4: Simplify right side
    1,656.54x = 2,877,634.92
  5. Step 5: Solve for x
    x = 2,877,634.92/1,656.54
  6. Step 6: Final answer
    x = 1,737.14

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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.