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Finding the Fourth Proportional to 1,638.71, 2,261.04 and 975.20

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Solution

The fourth proportional to 1,638.71, 2,261.04 and 975.20 is: 1,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.71 : 2,261.04 = 975.20 : x
  2. Step 2: Convert to fraction form
    1,638.71/2,261.04 = 975.20/x
  3. Step 3: Cross multiply
    1,638.71x = 2,261.04 × 975.20
  4. Step 4: Simplify right side
    1,638.71x = 2,204,966.21
  5. Step 5: Solve for x
    x = 2,204,966.21/1,638.71
  6. Step 6: Final answer
    x = 1,345.55

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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.