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Finding the Fourth Proportional to 1,316.54, 1,971.77 and 1,022.51

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Solution

The fourth proportional to 1,316.54, 1,971.77 and 1,022.51 is: 1,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.54 : 1,971.77 = 1,022.51 : x
  2. Step 2: Convert to fraction form
    1,316.54/1,971.77 = 1,022.51/x
  3. Step 3: Cross multiply
    1,316.54x = 1,971.77 × 1,022.51
  4. Step 4: Simplify right side
    1,316.54x = 2,016,139.57
  5. Step 5: Solve for x
    x = 2,016,139.57/1,316.54
  6. Step 6: Final answer
    x = 1,531.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.