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Finding the Fourth Proportional to 2,393.46, 3,301.98 and 1,728.84

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Solution

The fourth proportional to 2,393.46, 3,301.98 and 1,728.84 is: 2,385.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.46 : 3,301.98 = 1,728.84 : x
  2. Step 2: Convert to fraction form
    2,393.46/3,301.98 = 1,728.84/x
  3. Step 3: Cross multiply
    2,393.46x = 3,301.98 × 1,728.84
  4. Step 4: Simplify right side
    2,393.46x = 5,708,595.10
  5. Step 5: Solve for x
    x = 5,708,595.10/2,393.46
  6. Step 6: Final answer
    x = 2,385.08

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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.