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Finding the Fourth Proportional to 2,536.52, 3,500.27 and 1,417.24

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Solution

The fourth proportional to 2,536.52, 3,500.27 and 1,417.24 is: 1,955.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536.52 : 3,500.27 = 1,417.24 : x
  2. Step 2: Convert to fraction form
    2,536.52/3,500.27 = 1,417.24/x
  3. Step 3: Cross multiply
    2,536.52x = 3,500.27 × 1,417.24
  4. Step 4: Simplify right side
    2,536.52x = 4,960,722.65
  5. Step 5: Solve for x
    x = 4,960,722.65/2,536.52
  6. Step 6: Final answer
    x = 1,955.72

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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.