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Finding the Fourth Proportional to 1,330.83, 1,834.65 and 1,174.23

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Solution

The fourth proportional to 1,330.83, 1,834.65 and 1,174.23 is: 1,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.83 : 1,834.65 = 1,174.23 : x
  2. Step 2: Convert to fraction form
    1,330.83/1,834.65 = 1,174.23/x
  3. Step 3: Cross multiply
    1,330.83x = 1,834.65 × 1,174.23
  4. Step 4: Simplify right side
    1,330.83x = 2,154,301.07
  5. Step 5: Solve for x
    x = 2,154,301.07/1,330.83
  6. Step 6: Final answer
    x = 1,618.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.