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Finding the Fourth Proportional to 2,153.09, 2,970.56 and 1,256.63

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Solution

The fourth proportional to 2,153.09, 2,970.56 and 1,256.63 is: 1,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.09 : 2,970.56 = 1,256.63 : x
  2. Step 2: Convert to fraction form
    2,153.09/2,970.56 = 1,256.63/x
  3. Step 3: Cross multiply
    2,153.09x = 2,970.56 × 1,256.63
  4. Step 4: Simplify right side
    2,153.09x = 3,732,873.68
  5. Step 5: Solve for x
    x = 3,732,873.68/2,153.09
  6. Step 6: Final answer
    x = 1,733.73

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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.