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Finding the Fourth Proportional to 3,076.62, 4,613.76 and 1,101.70

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Solution

The fourth proportional to 3,076.62, 4,613.76 and 1,101.70 is: 1,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.62 : 4,613.76 = 1,101.70 : x
  2. Step 2: Convert to fraction form
    3,076.62/4,613.76 = 1,101.70/x
  3. Step 3: Cross multiply
    3,076.62x = 4,613.76 × 1,101.70
  4. Step 4: Simplify right side
    3,076.62x = 5,082,985.16
  5. Step 5: Solve for x
    x = 5,082,985.16/3,076.62
  6. Step 6: Final answer
    x = 1,652.13

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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.