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Finding the Fourth Proportional to 1,638.68, 2,261.45 and 930.51

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Solution

The fourth proportional to 1,638.68, 2,261.45 and 930.51 is: 1,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.68 : 2,261.45 = 930.51 : x
  2. Step 2: Convert to fraction form
    1,638.68/2,261.45 = 930.51/x
  3. Step 3: Cross multiply
    1,638.68x = 2,261.45 × 930.51
  4. Step 4: Simplify right side
    1,638.68x = 2,104,301.84
  5. Step 5: Solve for x
    x = 2,104,301.84/1,638.68
  6. Step 6: Final answer
    x = 1,284.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.