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Finding the Fourth Proportional to 3,130.44, 4,320 and 1,786.01

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Solution

The fourth proportional to 3,130.44, 4,320 and 1,786.01 is: 2,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.44 : 4,320 = 1,786.01 : x
  2. Step 2: Convert to fraction form
    3,130.44/4,320 = 1,786.01/x
  3. Step 3: Cross multiply
    3,130.44x = 4,320 × 1,786.01
  4. Step 4: Simplify right side
    3,130.44x = 7,715,541.60
  5. Step 5: Solve for x
    x = 7,715,541.60/3,130.44
  6. Step 6: Final answer
    x = 2,464.69

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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.