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Finding the Fourth Proportional to 1,619.74, 2,429.08 and 632.48

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Solution

The fourth proportional to 1,619.74, 2,429.08 and 632.48 is: 948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.74 : 2,429.08 = 632.48 : x
  2. Step 2: Convert to fraction form
    1,619.74/2,429.08 = 632.48/x
  3. Step 3: Cross multiply
    1,619.74x = 2,429.08 × 632.48
  4. Step 4: Simplify right side
    1,619.74x = 1,536,344.52
  5. Step 5: Solve for x
    x = 1,536,344.52/1,619.74
  6. Step 6: Final answer
    x = 948.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.