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Finding the Fourth Proportional to 3,130.16, 4,696.04 and 1,182.38

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Solution

The fourth proportional to 3,130.16, 4,696.04 and 1,182.38 is: 1,773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.16 : 4,696.04 = 1,182.38 : x
  2. Step 2: Convert to fraction form
    3,130.16/4,696.04 = 1,182.38/x
  3. Step 3: Cross multiply
    3,130.16x = 4,696.04 × 1,182.38
  4. Step 4: Simplify right side
    3,130.16x = 5,552,503.78
  5. Step 5: Solve for x
    x = 5,552,503.78/3,130.16
  6. Step 6: Final answer
    x = 1,773.87

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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.