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Finding the Fourth Proportional to 2,504.76, 3,457.26 and 1,457.16

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Solution

The fourth proportional to 2,504.76, 3,457.26 and 1,457.16 is: 2,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.76 : 3,457.26 = 1,457.16 : x
  2. Step 2: Convert to fraction form
    2,504.76/3,457.26 = 1,457.16/x
  3. Step 3: Cross multiply
    2,504.76x = 3,457.26 × 1,457.16
  4. Step 4: Simplify right side
    2,504.76x = 5,037,780.98
  5. Step 5: Solve for x
    x = 5,037,780.98/2,504.76
  6. Step 6: Final answer
    x = 2,011.28

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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.