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Finding the Fourth Proportional to 1,556.55, 2,147.72 and 966.74

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Solution

The fourth proportional to 1,556.55, 2,147.72 and 966.74 is: 1,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.55 : 2,147.72 = 966.74 : x
  2. Step 2: Convert to fraction form
    1,556.55/2,147.72 = 966.74/x
  3. Step 3: Cross multiply
    1,556.55x = 2,147.72 × 966.74
  4. Step 4: Simplify right side
    1,556.55x = 2,076,271.26
  5. Step 5: Solve for x
    x = 2,076,271.26/1,556.55
  6. Step 6: Final answer
    x = 1,333.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.