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Finding the Fourth Proportional to 1,756.59, 2,632.77 and 976.56

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Solution

The fourth proportional to 1,756.59, 2,632.77 and 976.56 is: 1,463.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.59 : 2,632.77 = 976.56 : x
  2. Step 2: Convert to fraction form
    1,756.59/2,632.77 = 976.56/x
  3. Step 3: Cross multiply
    1,756.59x = 2,632.77 × 976.56
  4. Step 4: Simplify right side
    1,756.59x = 2,571,057.87
  5. Step 5: Solve for x
    x = 2,571,057.87/1,756.59
  6. Step 6: Final answer
    x = 1,463.66

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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.