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Finding the Fourth Proportional to 1,953.25, 2,695.49 and 1,456.32

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Solution

The fourth proportional to 1,953.25, 2,695.49 and 1,456.32 is: 2,009.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.25 : 2,695.49 = 1,456.32 : x
  2. Step 2: Convert to fraction form
    1,953.25/2,695.49 = 1,456.32/x
  3. Step 3: Cross multiply
    1,953.25x = 2,695.49 × 1,456.32
  4. Step 4: Simplify right side
    1,953.25x = 3,925,475.24
  5. Step 5: Solve for x
    x = 3,925,475.24/1,953.25
  6. Step 6: Final answer
    x = 2,009.71

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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.