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Finding the Fourth Proportional to 1,146.84, 1,722.06 and 942.72

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Solution

The fourth proportional to 1,146.84, 1,722.06 and 942.72 is: 1,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.84 : 1,722.06 = 942.72 : x
  2. Step 2: Convert to fraction form
    1,146.84/1,722.06 = 942.72/x
  3. Step 3: Cross multiply
    1,146.84x = 1,722.06 × 942.72
  4. Step 4: Simplify right side
    1,146.84x = 1,623,420.40
  5. Step 5: Solve for x
    x = 1,623,420.40/1,146.84
  6. Step 6: Final answer
    x = 1,415.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.