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Finding the Fourth Proportional to 1,530.81, 2,112.83 and 971.96

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Solution

The fourth proportional to 1,530.81, 2,112.83 and 971.96 is: 1,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.81 : 2,112.83 = 971.96 : x
  2. Step 2: Convert to fraction form
    1,530.81/2,112.83 = 971.96/x
  3. Step 3: Cross multiply
    1,530.81x = 2,112.83 × 971.96
  4. Step 4: Simplify right side
    1,530.81x = 2,053,570.82
  5. Step 5: Solve for x
    x = 2,053,570.82/1,530.81
  6. Step 6: Final answer
    x = 1,341.49

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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.