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Finding the Fourth Proportional to 2,858.26, 4,291.05 and 1,560.64

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Solution

The fourth proportional to 2,858.26, 4,291.05 and 1,560.64 is: 2,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.26 : 4,291.05 = 1,560.64 : x
  2. Step 2: Convert to fraction form
    2,858.26/4,291.05 = 1,560.64/x
  3. Step 3: Cross multiply
    2,858.26x = 4,291.05 × 1,560.64
  4. Step 4: Simplify right side
    2,858.26x = 6,696,784.27
  5. Step 5: Solve for x
    x = 6,696,784.27/2,858.26
  6. Step 6: Final answer
    x = 2,342.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.