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Finding the Fourth Proportional to 2,536.49, 3,500.29 and 1,417.39

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Solution

The fourth proportional to 2,536.49, 3,500.29 and 1,417.39 is: 1,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.49 : 3,500.29 = 1,417.39 : x
  2. Step 2: Convert to fraction form
    2,536.49/3,500.29 = 1,417.39/x
  3. Step 3: Cross multiply
    2,536.49x = 3,500.29 × 1,417.39
  4. Step 4: Simplify right side
    2,536.49x = 4,961,276.04
  5. Step 5: Solve for x
    x = 4,961,276.04/2,536.49
  6. Step 6: Final answer
    x = 1,955.96

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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.