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Finding the Fourth Proportional to 2,824.80, 4,237.88 and 975.84

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Solution

The fourth proportional to 2,824.80, 4,237.88 and 975.84 is: 1,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.80 : 4,237.88 = 975.84 : x
  2. Step 2: Convert to fraction form
    2,824.80/4,237.88 = 975.84/x
  3. Step 3: Cross multiply
    2,824.80x = 4,237.88 × 975.84
  4. Step 4: Simplify right side
    2,824.80x = 4,135,492.82
  5. Step 5: Solve for x
    x = 4,135,492.82/2,824.80
  6. Step 6: Final answer
    x = 1,463.99

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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.