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Finding the Fourth Proportional to 1,362.35, 2,044.74 and 929.81

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Solution

The fourth proportional to 1,362.35, 2,044.74 and 929.81 is: 1,395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.35 : 2,044.74 = 929.81 : x
  2. Step 2: Convert to fraction form
    1,362.35/2,044.74 = 929.81/x
  3. Step 3: Cross multiply
    1,362.35x = 2,044.74 × 929.81
  4. Step 4: Simplify right side
    1,362.35x = 1,901,228.30
  5. Step 5: Solve for x
    x = 1,901,228.30/1,362.35
  6. Step 6: Final answer
    x = 1,395.55

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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.