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Finding the Fourth Proportional to 2,536.66, 3,500.75 and 1,417.68

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Solution

The fourth proportional to 2,536.66, 3,500.75 and 1,417.68 is: 1,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.66 : 3,500.75 = 1,417.68 : x
  2. Step 2: Convert to fraction form
    2,536.66/3,500.75 = 1,417.68/x
  3. Step 3: Cross multiply
    2,536.66x = 3,500.75 × 1,417.68
  4. Step 4: Simplify right side
    2,536.66x = 4,962,946.80
  5. Step 5: Solve for x
    x = 4,962,946.80/2,536.66
  6. Step 6: Final answer
    x = 1,956.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.