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Finding the Fourth Proportional to 1,705.28, 2,352.84 and 1,146.76

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Solution

The fourth proportional to 1,705.28, 2,352.84 and 1,146.76 is: 1,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.28 : 2,352.84 = 1,146.76 : x
  2. Step 2: Convert to fraction form
    1,705.28/2,352.84 = 1,146.76/x
  3. Step 3: Cross multiply
    1,705.28x = 2,352.84 × 1,146.76
  4. Step 4: Simplify right side
    1,705.28x = 2,698,142.80
  5. Step 5: Solve for x
    x = 2,698,142.80/1,705.28
  6. Step 6: Final answer
    x = 1,582.23

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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.