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Finding the Fourth Proportional to 1,380.44, 2,068.03 and 916.82

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Solution

The fourth proportional to 1,380.44, 2,068.03 and 916.82 is: 1,373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.44 : 2,068.03 = 916.82 : x
  2. Step 2: Convert to fraction form
    1,380.44/2,068.03 = 916.82/x
  3. Step 3: Cross multiply
    1,380.44x = 2,068.03 × 916.82
  4. Step 4: Simplify right side
    1,380.44x = 1,896,009.83
  5. Step 5: Solve for x
    x = 1,896,009.83/1,380.44
  6. Step 6: Final answer
    x = 1,373.48

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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.