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Finding the Fourth Proportional to 1,501.75, 2,071.37 and 1,377.82

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Solution

The fourth proportional to 1,501.75, 2,071.37 and 1,377.82 is: 1,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.75 : 2,071.37 = 1,377.82 : x
  2. Step 2: Convert to fraction form
    1,501.75/2,071.37 = 1,377.82/x
  3. Step 3: Cross multiply
    1,501.75x = 2,071.37 × 1,377.82
  4. Step 4: Simplify right side
    1,501.75x = 2,853,957.77
  5. Step 5: Solve for x
    x = 2,853,957.77/1,501.75
  6. Step 6: Final answer
    x = 1,900.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.