Home / 1,583.10-2,374.85-609.07

Finding the Fourth Proportional to 1,583.10, 2,374.85 and 609.07

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Solution

The fourth proportional to 1,583.10, 2,374.85 and 609.07 is: 913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.10 : 2,374.85 = 609.07 : x
  2. Step 2: Convert to fraction form
    1,583.10/2,374.85 = 609.07/x
  3. Step 3: Cross multiply
    1,583.10x = 2,374.85 × 609.07
  4. Step 4: Simplify right side
    1,583.10x = 1,446,449.89
  5. Step 5: Solve for x
    x = 1,446,449.89/1,583.10
  6. Step 6: Final answer
    x = 913.68

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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.