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Finding the Fourth Proportional to 1,580.36, 2,371.07 and 593.30

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Solution

The fourth proportional to 1,580.36, 2,371.07 and 593.30 is: 890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.36 : 2,371.07 = 593.30 : x
  2. Step 2: Convert to fraction form
    1,580.36/2,371.07 = 593.30/x
  3. Step 3: Cross multiply
    1,580.36x = 2,371.07 × 593.30
  4. Step 4: Simplify right side
    1,580.36x = 1,406,763.24
  5. Step 5: Solve for x
    x = 1,406,763.24/1,580.36
  6. Step 6: Final answer
    x = 890.16

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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.