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Finding the Fourth Proportional to 2,124.96, 3,188.16 and 954.84

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Solution

The fourth proportional to 2,124.96, 3,188.16 and 954.84 is: 1,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.96 : 3,188.16 = 954.84 : x
  2. Step 2: Convert to fraction form
    2,124.96/3,188.16 = 954.84/x
  3. Step 3: Cross multiply
    2,124.96x = 3,188.16 × 954.84
  4. Step 4: Simplify right side
    2,124.96x = 3,044,182.69
  5. Step 5: Solve for x
    x = 3,044,182.69/2,124.96
  6. Step 6: Final answer
    x = 1,432.58

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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.