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Finding the Fourth Proportional to 1,362.76, 2,045.50 and 922.60

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Solution

The fourth proportional to 1,362.76, 2,045.50 and 922.60 is: 1,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.76 : 2,045.50 = 922.60 : x
  2. Step 2: Convert to fraction form
    1,362.76/2,045.50 = 922.60/x
  3. Step 3: Cross multiply
    1,362.76x = 2,045.50 × 922.60
  4. Step 4: Simplify right side
    1,362.76x = 1,887,178.30
  5. Step 5: Solve for x
    x = 1,887,178.30/1,362.76
  6. Step 6: Final answer
    x = 1,384.82

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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.