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Finding the Fourth Proportional to 1,545.10, 2,131.36 and 955.22

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Solution

The fourth proportional to 1,545.10, 2,131.36 and 955.22 is: 1,317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.10 : 2,131.36 = 955.22 : x
  2. Step 2: Convert to fraction form
    1,545.10/2,131.36 = 955.22/x
  3. Step 3: Cross multiply
    1,545.10x = 2,131.36 × 955.22
  4. Step 4: Simplify right side
    1,545.10x = 2,035,917.70
  5. Step 5: Solve for x
    x = 2,035,917.70/1,545.10
  6. Step 6: Final answer
    x = 1,317.66

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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.