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Finding the Fourth Proportional to 3,007.51, 4,150.46 and 1,681.21

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Solution

The fourth proportional to 3,007.51, 4,150.46 and 1,681.21 is: 2,320.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.51 : 4,150.46 = 1,681.21 : x
  2. Step 2: Convert to fraction form
    3,007.51/4,150.46 = 1,681.21/x
  3. Step 3: Cross multiply
    3,007.51x = 4,150.46 × 1,681.21
  4. Step 4: Simplify right side
    3,007.51x = 6,977,804.25
  5. Step 5: Solve for x
    x = 6,977,804.25/3,007.51
  6. Step 6: Final answer
    x = 2,320.12

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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.