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Finding the Fourth Proportional to 1,728.82, 2,385.76 and 942.86

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Solution

The fourth proportional to 1,728.82, 2,385.76 and 942.86 is: 1,301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.82 : 2,385.76 = 942.86 : x
  2. Step 2: Convert to fraction form
    1,728.82/2,385.76 = 942.86/x
  3. Step 3: Cross multiply
    1,728.82x = 2,385.76 × 942.86
  4. Step 4: Simplify right side
    1,728.82x = 2,249,437.67
  5. Step 5: Solve for x
    x = 2,249,437.67/1,728.82
  6. Step 6: Final answer
    x = 1,301.14

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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.