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Finding the Fourth Proportional to 1,838.35, 2,752.65 and 970.84

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Solution

The fourth proportional to 1,838.35, 2,752.65 and 970.84 is: 1,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.35 : 2,752.65 = 970.84 : x
  2. Step 2: Convert to fraction form
    1,838.35/2,752.65 = 970.84/x
  3. Step 3: Cross multiply
    1,838.35x = 2,752.65 × 970.84
  4. Step 4: Simplify right side
    1,838.35x = 2,672,382.73
  5. Step 5: Solve for x
    x = 2,672,382.73/1,838.35
  6. Step 6: Final answer
    x = 1,453.69

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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.