Home / 1,583.64-2,374.47-609.30

Finding the Fourth Proportional to 1,583.64, 2,374.47 and 609.30

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Solution

The fourth proportional to 1,583.64, 2,374.47 and 609.30 is: 913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.64 : 2,374.47 = 609.30 : x
  2. Step 2: Convert to fraction form
    1,583.64/2,374.47 = 609.30/x
  3. Step 3: Cross multiply
    1,583.64x = 2,374.47 × 609.30
  4. Step 4: Simplify right side
    1,583.64x = 1,446,764.57
  5. Step 5: Solve for x
    x = 1,446,764.57/1,583.64
  6. Step 6: Final answer
    x = 913.57

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Why These Related Problems?

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