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Finding the Fourth Proportional to 1,879.84, 2,820 and 581.52

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Solution

The fourth proportional to 1,879.84, 2,820 and 581.52 is: 872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.84 : 2,820 = 581.52 : x
  2. Step 2: Convert to fraction form
    1,879.84/2,820 = 581.52/x
  3. Step 3: Cross multiply
    1,879.84x = 2,820 × 581.52
  4. Step 4: Simplify right side
    1,879.84x = 1,639,886.40
  5. Step 5: Solve for x
    x = 1,639,886.40/1,879.84
  6. Step 6: Final answer
    x = 872.35

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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.