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Finding the Fourth Proportional to 1,583.70, 2,374.08 and 609.54

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Solution

The fourth proportional to 1,583.70, 2,374.08 and 609.54 is: 913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.70 : 2,374.08 = 609.54 : x
  2. Step 2: Convert to fraction form
    1,583.70/2,374.08 = 609.54/x
  3. Step 3: Cross multiply
    1,583.70x = 2,374.08 × 609.54
  4. Step 4: Simplify right side
    1,583.70x = 1,447,096.72
  5. Step 5: Solve for x
    x = 1,447,096.72/1,583.70
  6. Step 6: Final answer
    x = 913.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.