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Finding the Fourth Proportional to 3,007.64, 4,150.53 and 1,681.34

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Solution

The fourth proportional to 3,007.64, 4,150.53 and 1,681.34 is: 2,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.64 : 4,150.53 = 1,681.34 : x
  2. Step 2: Convert to fraction form
    3,007.64/4,150.53 = 1,681.34/x
  3. Step 3: Cross multiply
    3,007.64x = 4,150.53 × 1,681.34
  4. Step 4: Simplify right side
    3,007.64x = 6,978,452.11
  5. Step 5: Solve for x
    x = 6,978,452.11/3,007.64
  6. Step 6: Final answer
    x = 2,320.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.