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Finding the Fourth Proportional to 2,505.96, 3,460.84 and 1,953

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Solution

The fourth proportional to 2,505.96, 3,460.84 and 1,953 is: 2,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.96 : 3,460.84 = 1,953 : x
  2. Step 2: Convert to fraction form
    2,505.96/3,460.84 = 1,953/x
  3. Step 3: Cross multiply
    2,505.96x = 3,460.84 × 1,953
  4. Step 4: Simplify right side
    2,505.96x = 6,759,020.52
  5. Step 5: Solve for x
    x = 6,759,020.52/2,505.96
  6. Step 6: Final answer
    x = 2,697.18

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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.