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Finding the Fourth Proportional to 1,871.62, 2,580.96 and 1,607.02

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Solution

The fourth proportional to 1,871.62, 2,580.96 and 1,607.02 is: 2,216.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.62 : 2,580.96 = 1,607.02 : x
  2. Step 2: Convert to fraction form
    1,871.62/2,580.96 = 1,607.02/x
  3. Step 3: Cross multiply
    1,871.62x = 2,580.96 × 1,607.02
  4. Step 4: Simplify right side
    1,871.62x = 4,147,654.34
  5. Step 5: Solve for x
    x = 4,147,654.34/1,871.62
  6. Step 6: Final answer
    x = 2,216.08

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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.