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Finding the Fourth Proportional to 1,713.56, 2,557.76 and 1,300.77

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Solution

The fourth proportional to 1,713.56, 2,557.76 and 1,300.77 is: 1,941.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.56 : 2,557.76 = 1,300.77 : x
  2. Step 2: Convert to fraction form
    1,713.56/2,557.76 = 1,300.77/x
  3. Step 3: Cross multiply
    1,713.56x = 2,557.76 × 1,300.77
  4. Step 4: Simplify right side
    1,713.56x = 3,327,050.97
  5. Step 5: Solve for x
    x = 3,327,050.97/1,713.56
  6. Step 6: Final answer
    x = 1,941.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.