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Finding the Fourth Proportional to 3,101.54, 4,649.57 and 1,152.38

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Solution

The fourth proportional to 3,101.54, 4,649.57 and 1,152.38 is: 1,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.54 : 4,649.57 = 1,152.38 : x
  2. Step 2: Convert to fraction form
    3,101.54/4,649.57 = 1,152.38/x
  3. Step 3: Cross multiply
    3,101.54x = 4,649.57 × 1,152.38
  4. Step 4: Simplify right side
    3,101.54x = 5,358,051.11
  5. Step 5: Solve for x
    x = 5,358,051.11/3,101.54
  6. Step 6: Final answer
    x = 1,727.55

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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.