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Finding the Fourth Proportional to 1,953.19, 2,930.18 and 566.55

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Solution

The fourth proportional to 1,953.19, 2,930.18 and 566.55 is: 849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.19 : 2,930.18 = 566.55 : x
  2. Step 2: Convert to fraction form
    1,953.19/2,930.18 = 566.55/x
  3. Step 3: Cross multiply
    1,953.19x = 2,930.18 × 566.55
  4. Step 4: Simplify right side
    1,953.19x = 1,660,076.00
  5. Step 5: Solve for x
    x = 1,660,076.00/1,953.19
  6. Step 6: Final answer
    x = 849.93

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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.