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Finding the Fourth Proportional to 2,016.63, 2,784.69 and 1,386.99

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Solution

The fourth proportional to 2,016.63, 2,784.69 and 1,386.99 is: 1,915.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.63 : 2,784.69 = 1,386.99 : x
  2. Step 2: Convert to fraction form
    2,016.63/2,784.69 = 1,386.99/x
  3. Step 3: Cross multiply
    2,016.63x = 2,784.69 × 1,386.99
  4. Step 4: Simplify right side
    2,016.63x = 3,862,337.18
  5. Step 5: Solve for x
    x = 3,862,337.18/2,016.63
  6. Step 6: Final answer
    x = 1,915.24

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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.