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Finding the Fourth Proportional to 1,580, 2,370 and 484.34

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Solution

The fourth proportional to 1,580, 2,370 and 484.34 is: 726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580 : 2,370 = 484.34 : x
  2. Step 2: Convert to fraction form
    1,580/2,370 = 484.34/x
  3. Step 3: Cross multiply
    1,580x = 2,370 × 484.34
  4. Step 4: Simplify right side
    1,580x = 1,147,885.80
  5. Step 5: Solve for x
    x = 1,147,885.80/1,580
  6. Step 6: Final answer
    x = 726.51

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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.