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Finding the Fourth Proportional to 2,305.16, 3,457.74 and 573.80

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Solution

The fourth proportional to 2,305.16, 3,457.74 and 573.80 is: 860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.16 : 3,457.74 = 573.80 : x
  2. Step 2: Convert to fraction form
    2,305.16/3,457.74 = 573.80/x
  3. Step 3: Cross multiply
    2,305.16x = 3,457.74 × 573.80
  4. Step 4: Simplify right side
    2,305.16x = 1,984,051.21
  5. Step 5: Solve for x
    x = 1,984,051.21/2,305.16
  6. Step 6: Final answer
    x = 860.70

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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.