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Finding the Fourth Proportional to 1,952.90, 2,927.46 and 719.63

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Solution

The fourth proportional to 1,952.90, 2,927.46 and 719.63 is: 1,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952.90 : 2,927.46 = 719.63 : x
  2. Step 2: Convert to fraction form
    1,952.90/2,927.46 = 719.63/x
  3. Step 3: Cross multiply
    1,952.90x = 2,927.46 × 719.63
  4. Step 4: Simplify right side
    1,952.90x = 2,106,697.16
  5. Step 5: Solve for x
    x = 2,106,697.16/1,952.90
  6. Step 6: Final answer
    x = 1,078.75

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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.