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Finding the Fourth Proportional to 1,723.75, 2,378.73 and 1,060.50

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Solution

The fourth proportional to 1,723.75, 2,378.73 and 1,060.50 is: 1,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.75 : 2,378.73 = 1,060.50 : x
  2. Step 2: Convert to fraction form
    1,723.75/2,378.73 = 1,060.50/x
  3. Step 3: Cross multiply
    1,723.75x = 2,378.73 × 1,060.50
  4. Step 4: Simplify right side
    1,723.75x = 2,522,643.17
  5. Step 5: Solve for x
    x = 2,522,643.17/1,723.75
  6. Step 6: Final answer
    x = 1,463.46

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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.