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Finding the Fourth Proportional to 2,502.79, 3,457.10 and 2,033.80

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Solution

The fourth proportional to 2,502.79, 3,457.10 and 2,033.80 is: 2,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.79 : 3,457.10 = 2,033.80 : x
  2. Step 2: Convert to fraction form
    2,502.79/3,457.10 = 2,033.80/x
  3. Step 3: Cross multiply
    2,502.79x = 3,457.10 × 2,033.80
  4. Step 4: Simplify right side
    2,502.79x = 7,031,039.81
  5. Step 5: Solve for x
    x = 7,031,039.81/2,502.79
  6. Step 6: Final answer
    x = 2,809.28

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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.