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Finding the Fourth Proportional to 2,171.40, 2,995.80 and 1,542.06

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Solution

The fourth proportional to 2,171.40, 2,995.80 and 1,542.06 is: 2,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.40 : 2,995.80 = 1,542.06 : x
  2. Step 2: Convert to fraction form
    2,171.40/2,995.80 = 1,542.06/x
  3. Step 3: Cross multiply
    2,171.40x = 2,995.80 × 1,542.06
  4. Step 4: Simplify right side
    2,171.40x = 4,619,703.35
  5. Step 5: Solve for x
    x = 4,619,703.35/2,171.40
  6. Step 6: Final answer
    x = 2,127.52

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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.