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Finding the Fourth Proportional to 2,165.48, 2,986.40 and 1,419.17

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Solution

The fourth proportional to 2,165.48, 2,986.40 and 1,419.17 is: 1,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.48 : 2,986.40 = 1,419.17 : x
  2. Step 2: Convert to fraction form
    2,165.48/2,986.40 = 1,419.17/x
  3. Step 3: Cross multiply
    2,165.48x = 2,986.40 × 1,419.17
  4. Step 4: Simplify right side
    2,165.48x = 4,238,187.26
  5. Step 5: Solve for x
    x = 4,238,187.26/2,165.48
  6. Step 6: Final answer
    x = 1,957.16

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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.