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Finding the Fourth Proportional to 1,728.49, 2,385.30 and 942.52

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Solution

The fourth proportional to 1,728.49, 2,385.30 and 942.52 is: 1,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.49 : 2,385.30 = 942.52 : x
  2. Step 2: Convert to fraction form
    1,728.49/2,385.30 = 942.52/x
  3. Step 3: Cross multiply
    1,728.49x = 2,385.30 × 942.52
  4. Step 4: Simplify right side
    1,728.49x = 2,248,192.96
  5. Step 5: Solve for x
    x = 2,248,192.96/1,728.49
  6. Step 6: Final answer
    x = 1,300.67

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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.