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Finding the Fourth Proportional to 2,636.51, 3,638.31 and 1,457.56

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Solution

The fourth proportional to 2,636.51, 3,638.31 and 1,457.56 is: 2,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.51 : 3,638.31 = 1,457.56 : x
  2. Step 2: Convert to fraction form
    2,636.51/3,638.31 = 1,457.56/x
  3. Step 3: Cross multiply
    2,636.51x = 3,638.31 × 1,457.56
  4. Step 4: Simplify right side
    2,636.51x = 5,303,055.12
  5. Step 5: Solve for x
    x = 5,303,055.12/2,636.51
  6. Step 6: Final answer
    x = 2,011.39

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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.