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Finding the Fourth Proportional to 1,865.47, 2,798.28 and 633.01

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Solution

The fourth proportional to 1,865.47, 2,798.28 and 633.01 is: 949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.47 : 2,798.28 = 633.01 : x
  2. Step 2: Convert to fraction form
    1,865.47/2,798.28 = 633.01/x
  3. Step 3: Cross multiply
    1,865.47x = 2,798.28 × 633.01
  4. Step 4: Simplify right side
    1,865.47x = 1,771,332.23
  5. Step 5: Solve for x
    x = 1,771,332.23/1,865.47
  6. Step 6: Final answer
    x = 949.54

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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.