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Finding the Fourth Proportional to 1,604.83, 2,391.29 and 1,430.16

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Solution

The fourth proportional to 1,604.83, 2,391.29 and 1,430.16 is: 2,131.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.83 : 2,391.29 = 1,430.16 : x
  2. Step 2: Convert to fraction form
    1,604.83/2,391.29 = 1,430.16/x
  3. Step 3: Cross multiply
    1,604.83x = 2,391.29 × 1,430.16
  4. Step 4: Simplify right side
    1,604.83x = 3,419,927.31
  5. Step 5: Solve for x
    x = 3,419,927.31/1,604.83
  6. Step 6: Final answer
    x = 2,131.02

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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.