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Finding the Fourth Proportional to 2,158.47, 2,980.44 and 1,737.45

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Solution

The fourth proportional to 2,158.47, 2,980.44 and 1,737.45 is: 2,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.47 : 2,980.44 = 1,737.45 : x
  2. Step 2: Convert to fraction form
    2,158.47/2,980.44 = 1,737.45/x
  3. Step 3: Cross multiply
    2,158.47x = 2,980.44 × 1,737.45
  4. Step 4: Simplify right side
    2,158.47x = 5,178,365.48
  5. Step 5: Solve for x
    x = 5,178,365.48/2,158.47
  6. Step 6: Final answer
    x = 2,399.09

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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.