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Finding the Fourth Proportional to 1,729.70, 2,595.66 and 908.58

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Solution

The fourth proportional to 1,729.70, 2,595.66 and 908.58 is: 1,363.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.70 : 2,595.66 = 908.58 : x
  2. Step 2: Convert to fraction form
    1,729.70/2,595.66 = 908.58/x
  3. Step 3: Cross multiply
    1,729.70x = 2,595.66 × 908.58
  4. Step 4: Simplify right side
    1,729.70x = 2,358,364.76
  5. Step 5: Solve for x
    x = 2,358,364.76/1,729.70
  6. Step 6: Final answer
    x = 1,363.45

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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.