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Finding the Fourth Proportional to 2,016.51, 2,784.02 and 1,598.55

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Solution

The fourth proportional to 2,016.51, 2,784.02 and 1,598.55 is: 2,206.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.51 : 2,784.02 = 1,598.55 : x
  2. Step 2: Convert to fraction form
    2,016.51/2,784.02 = 1,598.55/x
  3. Step 3: Cross multiply
    2,016.51x = 2,784.02 × 1,598.55
  4. Step 4: Simplify right side
    2,016.51x = 4,450,387.18
  5. Step 5: Solve for x
    x = 4,450,387.18/2,016.51
  6. Step 6: Final answer
    x = 2,206.98

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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.