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Finding the Fourth Proportional to 2,536.47, 3,500.12 and 1,417.46

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Solution

The fourth proportional to 2,536.47, 3,500.12 and 1,417.46 is: 1,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.47 : 3,500.12 = 1,417.46 : x
  2. Step 2: Convert to fraction form
    2,536.47/3,500.12 = 1,417.46/x
  3. Step 3: Cross multiply
    2,536.47x = 3,500.12 × 1,417.46
  4. Step 4: Simplify right side
    2,536.47x = 4,961,266.14
  5. Step 5: Solve for x
    x = 4,961,266.14/2,536.47
  6. Step 6: Final answer
    x = 1,955.97

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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.