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Finding the Fourth Proportional to 2,459.51, 3,686.67 and 1,790.76

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Solution

The fourth proportional to 2,459.51, 3,686.67 and 1,790.76 is: 2,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.51 : 3,686.67 = 1,790.76 : x
  2. Step 2: Convert to fraction form
    2,459.51/3,686.67 = 1,790.76/x
  3. Step 3: Cross multiply
    2,459.51x = 3,686.67 × 1,790.76
  4. Step 4: Simplify right side
    2,459.51x = 6,601,941.17
  5. Step 5: Solve for x
    x = 6,601,941.17/2,459.51
  6. Step 6: Final answer
    x = 2,684.26

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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.