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Finding the Fourth Proportional to 1,545.82, 2,133.21 and 956.50

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Solution

The fourth proportional to 1,545.82, 2,133.21 and 956.50 is: 1,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.82 : 2,133.21 = 956.50 : x
  2. Step 2: Convert to fraction form
    1,545.82/2,133.21 = 956.50/x
  3. Step 3: Cross multiply
    1,545.82x = 2,133.21 × 956.50
  4. Step 4: Simplify right side
    1,545.82x = 2,040,415.37
  5. Step 5: Solve for x
    x = 2,040,415.37/1,545.82
  6. Step 6: Final answer
    x = 1,319.96

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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.