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Finding the Fourth Proportional to 1,540.70, 2,311.03 and 386.45

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Solution

The fourth proportional to 1,540.70, 2,311.03 and 386.45 is: 579.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.70 : 2,311.03 = 386.45 : x
  2. Step 2: Convert to fraction form
    1,540.70/2,311.03 = 386.45/x
  3. Step 3: Cross multiply
    1,540.70x = 2,311.03 × 386.45
  4. Step 4: Simplify right side
    1,540.70x = 893,085.02
  5. Step 5: Solve for x
    x = 893,085.02/1,540.70
  6. Step 6: Final answer
    x = 579.66

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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.