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Finding the Fourth Proportional to 1,556.14, 2,335.02 and 1,466.50

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Solution

The fourth proportional to 1,556.14, 2,335.02 and 1,466.50 is: 2,200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.14 : 2,335.02 = 1,466.50 : x
  2. Step 2: Convert to fraction form
    1,556.14/2,335.02 = 1,466.50/x
  3. Step 3: Cross multiply
    1,556.14x = 2,335.02 × 1,466.50
  4. Step 4: Simplify right side
    1,556.14x = 3,424,287.82
  5. Step 5: Solve for x
    x = 3,424,287.82/1,556.14
  6. Step 6: Final answer
    x = 2,200.51

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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.