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Finding the Fourth Proportional to 3,007.84, 4,150.47 and 1,681.51

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Solution

The fourth proportional to 3,007.84, 4,150.47 and 1,681.51 is: 2,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.84 : 4,150.47 = 1,681.51 : x
  2. Step 2: Convert to fraction form
    3,007.84/4,150.47 = 1,681.51/x
  3. Step 3: Cross multiply
    3,007.84x = 4,150.47 × 1,681.51
  4. Step 4: Simplify right side
    3,007.84x = 6,979,056.81
  5. Step 5: Solve for x
    x = 6,979,056.81/3,007.84
  6. Step 6: Final answer
    x = 2,320.29

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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.