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Finding the Fourth Proportional to 3,130.59, 4,696.71 and 1,182.81

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Solution

The fourth proportional to 3,130.59, 4,696.71 and 1,182.81 is: 1,774.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.59 : 4,696.71 = 1,182.81 : x
  2. Step 2: Convert to fraction form
    3,130.59/4,696.71 = 1,182.81/x
  3. Step 3: Cross multiply
    3,130.59x = 4,696.71 × 1,182.81
  4. Step 4: Simplify right side
    3,130.59x = 5,555,315.56
  5. Step 5: Solve for x
    x = 5,555,315.56/3,130.59
  6. Step 6: Final answer
    x = 1,774.53

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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.