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Finding the Fourth Proportional to 3,077.07, 4,616.01 and 1,130.64

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Solution

The fourth proportional to 3,077.07, 4,616.01 and 1,130.64 is: 1,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.07 : 4,616.01 = 1,130.64 : x
  2. Step 2: Convert to fraction form
    3,077.07/4,616.01 = 1,130.64/x
  3. Step 3: Cross multiply
    3,077.07x = 4,616.01 × 1,130.64
  4. Step 4: Simplify right side
    3,077.07x = 5,219,045.55
  5. Step 5: Solve for x
    x = 5,219,045.55/3,077.07
  6. Step 6: Final answer
    x = 1,696.11

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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.