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Finding the Fourth Proportional to 2,285.66, 3,428.45 and 746.66

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Solution

The fourth proportional to 2,285.66, 3,428.45 and 746.66 is: 1,119.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.66 : 3,428.45 = 746.66 : x
  2. Step 2: Convert to fraction form
    2,285.66/3,428.45 = 746.66/x
  3. Step 3: Cross multiply
    2,285.66x = 3,428.45 × 746.66
  4. Step 4: Simplify right side
    2,285.66x = 2,559,886.48
  5. Step 5: Solve for x
    x = 2,559,886.48/2,285.66
  6. Step 6: Final answer
    x = 1,119.98

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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.