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Finding the Fourth Proportional to 1,455.81, 2,174.85 and 931.62

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Solution

The fourth proportional to 1,455.81, 2,174.85 and 931.62 is: 1,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.81 : 2,174.85 = 931.62 : x
  2. Step 2: Convert to fraction form
    1,455.81/2,174.85 = 931.62/x
  3. Step 3: Cross multiply
    1,455.81x = 2,174.85 × 931.62
  4. Step 4: Simplify right side
    1,455.81x = 2,026,133.76
  5. Step 5: Solve for x
    x = 2,026,133.76/1,455.81
  6. Step 6: Final answer
    x = 1,391.76

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