Home / 1,638.51-2,260.35-975.12

Finding the Fourth Proportional to 1,638.51, 2,260.35 and 975.12

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Solution

The fourth proportional to 1,638.51, 2,260.35 and 975.12 is: 1,345.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.51 : 2,260.35 = 975.12 : x
  2. Step 2: Convert to fraction form
    1,638.51/2,260.35 = 975.12/x
  3. Step 3: Cross multiply
    1,638.51x = 2,260.35 × 975.12
  4. Step 4: Simplify right side
    1,638.51x = 2,204,112.49
  5. Step 5: Solve for x
    x = 2,204,112.49/1,638.51
  6. Step 6: Final answer
    x = 1,345.19

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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.