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Finding the Fourth Proportional to 1,737.49, 2,602.72 and 1,077.34

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Solution

The fourth proportional to 1,737.49, 2,602.72 and 1,077.34 is: 1,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.49 : 2,602.72 = 1,077.34 : x
  2. Step 2: Convert to fraction form
    1,737.49/2,602.72 = 1,077.34/x
  3. Step 3: Cross multiply
    1,737.49x = 2,602.72 × 1,077.34
  4. Step 4: Simplify right side
    1,737.49x = 2,804,014.36
  5. Step 5: Solve for x
    x = 2,804,014.36/1,737.49
  6. Step 6: Final answer
    x = 1,613.83

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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.