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Finding the Fourth Proportional to 1,756.23, 2,634.35 and 716.00

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Solution

The fourth proportional to 1,756.23, 2,634.35 and 716.00 is: 1,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.23 : 2,634.35 = 716.00 : x
  2. Step 2: Convert to fraction form
    1,756.23/2,634.35 = 716.00/x
  3. Step 3: Cross multiply
    1,756.23x = 2,634.35 × 716.00
  4. Step 4: Simplify right side
    1,756.23x = 1,886,177.85
  5. Step 5: Solve for x
    x = 1,886,177.85/1,756.23
  6. Step 6: Final answer
    x = 1,073.99

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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.