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Finding the Fourth Proportional to 2,905.42, 4,358.10 and 1,174

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Solution

The fourth proportional to 2,905.42, 4,358.10 and 1,174 is: 1,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.42 : 4,358.10 = 1,174 : x
  2. Step 2: Convert to fraction form
    2,905.42/4,358.10 = 1,174/x
  3. Step 3: Cross multiply
    2,905.42x = 4,358.10 × 1,174
  4. Step 4: Simplify right side
    2,905.42x = 5,116,409.40
  5. Step 5: Solve for x
    x = 5,116,409.40/2,905.42
  6. Step 6: Final answer
    x = 1,760.99

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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.