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Finding the Fourth Proportional to 1,835.92, 2,752.62 and 970.84

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Solution

The fourth proportional to 1,835.92, 2,752.62 and 970.84 is: 1,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.92 : 2,752.62 = 970.84 : x
  2. Step 2: Convert to fraction form
    1,835.92/2,752.62 = 970.84/x
  3. Step 3: Cross multiply
    1,835.92x = 2,752.62 × 970.84
  4. Step 4: Simplify right side
    1,835.92x = 2,672,353.60
  5. Step 5: Solve for x
    x = 2,672,353.60/1,835.92
  6. Step 6: Final answer
    x = 1,455.59

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1.5x scale

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.