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Finding the Fourth Proportional to 2,456.13, 3,686.04 and 1,158.51

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Solution

The fourth proportional to 2,456.13, 3,686.04 and 1,158.51 is: 1,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,456.13 : 3,686.04 = 1,158.51 : x
  2. Step 2: Convert to fraction form
    2,456.13/3,686.04 = 1,158.51/x
  3. Step 3: Cross multiply
    2,456.13x = 3,686.04 × 1,158.51
  4. Step 4: Simplify right side
    2,456.13x = 4,270,314.20
  5. Step 5: Solve for x
    x = 4,270,314.20/2,456.13
  6. Step 6: Final answer
    x = 1,738.64

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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.