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Finding the Fourth Proportional to 2,167.68, 2,989.44 and 1,421.40

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Solution

The fourth proportional to 2,167.68, 2,989.44 and 1,421.40 is: 1,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.68 : 2,989.44 = 1,421.40 : x
  2. Step 2: Convert to fraction form
    2,167.68/2,989.44 = 1,421.40/x
  3. Step 3: Cross multiply
    2,167.68x = 2,989.44 × 1,421.40
  4. Step 4: Simplify right side
    2,167.68x = 4,249,190.02
  5. Step 5: Solve for x
    x = 4,249,190.02/2,167.68
  6. Step 6: Final answer
    x = 1,960.25

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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.