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Finding the Fourth Proportional to 1,729.71, 2,583.54 and 1,564.93

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Solution

The fourth proportional to 1,729.71, 2,583.54 and 1,564.93 is: 2,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.71 : 2,583.54 = 1,564.93 : x
  2. Step 2: Convert to fraction form
    1,729.71/2,583.54 = 1,564.93/x
  3. Step 3: Cross multiply
    1,729.71x = 2,583.54 × 1,564.93
  4. Step 4: Simplify right side
    1,729.71x = 4,043,059.25
  5. Step 5: Solve for x
    x = 4,043,059.25/1,729.71
  6. Step 6: Final answer
    x = 2,337.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.