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Finding the Fourth Proportional to 1,977.51, 2,966.40 and 661.22

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Solution

The fourth proportional to 1,977.51, 2,966.40 and 661.22 is: 991.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.51 : 2,966.40 = 661.22 : x
  2. Step 2: Convert to fraction form
    1,977.51/2,966.40 = 661.22/x
  3. Step 3: Cross multiply
    1,977.51x = 2,966.40 × 661.22
  4. Step 4: Simplify right side
    1,977.51x = 1,961,428.18
  5. Step 5: Solve for x
    x = 1,961,428.18/1,977.51
  6. Step 6: Final answer
    x = 991.87

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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.