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Finding the Fourth Proportional to 1,674.96, 2,527.44 and 1,607.54

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Solution

The fourth proportional to 1,674.96, 2,527.44 and 1,607.54 is: 2,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.96 : 2,527.44 = 1,607.54 : x
  2. Step 2: Convert to fraction form
    1,674.96/2,527.44 = 1,607.54/x
  3. Step 3: Cross multiply
    1,674.96x = 2,527.44 × 1,607.54
  4. Step 4: Simplify right side
    1,674.96x = 4,062,948.26
  5. Step 5: Solve for x
    x = 4,062,948.26/1,674.96
  6. Step 6: Final answer
    x = 2,425.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.