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Finding the Fourth Proportional to 2,412.51, 3,617.67 and 1,113

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Solution

The fourth proportional to 2,412.51, 3,617.67 and 1,113 is: 1,668.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,412.51 : 3,617.67 = 1,113 : x
  2. Step 2: Convert to fraction form
    2,412.51/3,617.67 = 1,113/x
  3. Step 3: Cross multiply
    2,412.51x = 3,617.67 × 1,113
  4. Step 4: Simplify right side
    2,412.51x = 4,026,466.71
  5. Step 5: Solve for x
    x = 4,026,466.71/2,412.51
  6. Step 6: Final answer
    x = 1,668.99

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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.