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Finding the Fourth Proportional to 1,580.70, 2,193.27 and 1,535.34

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Solution

The fourth proportional to 1,580.70, 2,193.27 and 1,535.34 is: 2,130.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.70 : 2,193.27 = 1,535.34 : x
  2. Step 2: Convert to fraction form
    1,580.70/2,193.27 = 1,535.34/x
  3. Step 3: Cross multiply
    1,580.70x = 2,193.27 × 1,535.34
  4. Step 4: Simplify right side
    1,580.70x = 3,367,415.16
  5. Step 5: Solve for x
    x = 3,367,415.16/1,580.70
  6. Step 6: Final answer
    x = 2,130.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.