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Finding the Fourth Proportional to 2,156.56, 3,210.74 and 2,125.78

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Solution

The fourth proportional to 2,156.56, 3,210.74 and 2,125.78 is: 3,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156.56 : 3,210.74 = 2,125.78 : x
  2. Step 2: Convert to fraction form
    2,156.56/3,210.74 = 2,125.78/x
  3. Step 3: Cross multiply
    2,156.56x = 3,210.74 × 2,125.78
  4. Step 4: Simplify right side
    2,156.56x = 6,825,326.88
  5. Step 5: Solve for x
    x = 6,825,326.88/2,156.56
  6. Step 6: Final answer
    x = 3,164.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.