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Finding the Fourth Proportional to 2,164.97, 2,988.10 and 1,417.54

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Solution

The fourth proportional to 2,164.97, 2,988.10 and 1,417.54 is: 1,956.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.97 : 2,988.10 = 1,417.54 : x
  2. Step 2: Convert to fraction form
    2,164.97/2,988.10 = 1,417.54/x
  3. Step 3: Cross multiply
    2,164.97x = 2,988.10 × 1,417.54
  4. Step 4: Simplify right side
    2,164.97x = 4,235,745.58
  5. Step 5: Solve for x
    x = 4,235,745.58/2,164.97
  6. Step 6: Final answer
    x = 1,956.50

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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.