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Finding the Fourth Proportional to 1,955.25, 2,695.03 and 1,207.57

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Solution

The fourth proportional to 1,955.25, 2,695.03 and 1,207.57 is: 1,664.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.25 : 2,695.03 = 1,207.57 : x
  2. Step 2: Convert to fraction form
    1,955.25/2,695.03 = 1,207.57/x
  3. Step 3: Cross multiply
    1,955.25x = 2,695.03 × 1,207.57
  4. Step 4: Simplify right side
    1,955.25x = 3,254,437.38
  5. Step 5: Solve for x
    x = 3,254,437.38/1,955.25
  6. Step 6: Final answer
    x = 1,664.46

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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.