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Finding the Fourth Proportional to 2,430.83, 3,640.77 and 1,703.65

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Solution

The fourth proportional to 2,430.83, 3,640.77 and 1,703.65 is: 2,551.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.83 : 3,640.77 = 1,703.65 : x
  2. Step 2: Convert to fraction form
    2,430.83/3,640.77 = 1,703.65/x
  3. Step 3: Cross multiply
    2,430.83x = 3,640.77 × 1,703.65
  4. Step 4: Simplify right side
    2,430.83x = 6,202,595.54
  5. Step 5: Solve for x
    x = 6,202,595.54/2,430.83
  6. Step 6: Final answer
    x = 2,551.64

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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.