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Finding the Fourth Proportional to 1,725, 2,582.78 and 1,205.52

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Solution

The fourth proportional to 1,725, 2,582.78 and 1,205.52 is: 1,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725 : 2,582.78 = 1,205.52 : x
  2. Step 2: Convert to fraction form
    1,725/2,582.78 = 1,205.52/x
  3. Step 3: Cross multiply
    1,725x = 2,582.78 × 1,205.52
  4. Step 4: Simplify right side
    1,725x = 3,113,586.92
  5. Step 5: Solve for x
    x = 3,113,586.92/1,725
  6. Step 6: Final answer
    x = 1,804.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.