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Finding the Fourth Proportional to 2,505.60, 3,455.66 and 2,337.93

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Solution

The fourth proportional to 2,505.60, 3,455.66 and 2,337.93 is: 3,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.60 : 3,455.66 = 2,337.93 : x
  2. Step 2: Convert to fraction form
    2,505.60/3,455.66 = 2,337.93/x
  3. Step 3: Cross multiply
    2,505.60x = 3,455.66 × 2,337.93
  4. Step 4: Simplify right side
    2,505.60x = 8,079,097.03
  5. Step 5: Solve for x
    x = 8,079,097.03/2,505.60
  6. Step 6: Final answer
    x = 3,224.42

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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.