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Finding the Fourth Proportional to 2,140.43, 2,953.82 and 1,256.24

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Solution

The fourth proportional to 2,140.43, 2,953.82 and 1,256.24 is: 1,733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.43 : 2,953.82 = 1,256.24 : x
  2. Step 2: Convert to fraction form
    2,140.43/2,953.82 = 1,256.24/x
  3. Step 3: Cross multiply
    2,140.43x = 2,953.82 × 1,256.24
  4. Step 4: Simplify right side
    2,140.43x = 3,710,717.36
  5. Step 5: Solve for x
    x = 3,710,717.36/2,140.43
  6. Step 6: Final answer
    x = 1,733.64

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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.