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Finding the Fourth Proportional to 2,759.71, 4,140.23 and 1,460.89

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Solution

The fourth proportional to 2,759.71, 4,140.23 and 1,460.89 is: 2,191.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.71 : 4,140.23 = 1,460.89 : x
  2. Step 2: Convert to fraction form
    2,759.71/4,140.23 = 1,460.89/x
  3. Step 3: Cross multiply
    2,759.71x = 4,140.23 × 1,460.89
  4. Step 4: Simplify right side
    2,759.71x = 6,048,420.60
  5. Step 5: Solve for x
    x = 6,048,420.60/2,759.71
  6. Step 6: Final answer
    x = 2,191.69

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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.