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Finding the Fourth Proportional to 1,866.58, 2,797.98 and 633.15

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Solution

The fourth proportional to 1,866.58, 2,797.98 and 633.15 is: 949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.58 : 2,797.98 = 633.15 : x
  2. Step 2: Convert to fraction form
    1,866.58/2,797.98 = 633.15/x
  3. Step 3: Cross multiply
    1,866.58x = 2,797.98 × 633.15
  4. Step 4: Simplify right side
    1,866.58x = 1,771,541.04
  5. Step 5: Solve for x
    x = 1,771,541.04/1,866.58
  6. Step 6: Final answer
    x = 949.08

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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.