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Finding the Fourth Proportional to 2,174.29, 3,000.53 and 1,290.07

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Solution

The fourth proportional to 2,174.29, 3,000.53 and 1,290.07 is: 1,780.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.29 : 3,000.53 = 1,290.07 : x
  2. Step 2: Convert to fraction form
    2,174.29/3,000.53 = 1,290.07/x
  3. Step 3: Cross multiply
    2,174.29x = 3,000.53 × 1,290.07
  4. Step 4: Simplify right side
    2,174.29x = 3,870,887.29
  5. Step 5: Solve for x
    x = 3,870,887.29/2,174.29
  6. Step 6: Final answer
    x = 1,780.30

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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.