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Finding the Fourth Proportional to 3,457.58, 4,770.95 and 1,965.24

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Solution

The fourth proportional to 3,457.58, 4,770.95 and 1,965.24 is: 2,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.58 : 4,770.95 = 1,965.24 : x
  2. Step 2: Convert to fraction form
    3,457.58/4,770.95 = 1,965.24/x
  3. Step 3: Cross multiply
    3,457.58x = 4,770.95 × 1,965.24
  4. Step 4: Simplify right side
    3,457.58x = 9,376,051.95
  5. Step 5: Solve for x
    x = 9,376,051.95/3,457.58
  6. Step 6: Final answer
    x = 2,711.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.