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Finding the Fourth Proportional to 2,430.99, 3,648.76 and 1,115.44

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Solution

The fourth proportional to 2,430.99, 3,648.76 and 1,115.44 is: 1,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.99 : 3,648.76 = 1,115.44 : x
  2. Step 2: Convert to fraction form
    2,430.99/3,648.76 = 1,115.44/x
  3. Step 3: Cross multiply
    2,430.99x = 3,648.76 × 1,115.44
  4. Step 4: Simplify right side
    2,430.99x = 4,069,960.94
  5. Step 5: Solve for x
    x = 4,069,960.94/2,430.99
  6. Step 6: Final answer
    x = 1,674.20

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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.