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Finding the Fourth Proportional to 2,459.57, 3,391.62 and 2,106.66

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Solution

The fourth proportional to 2,459.57, 3,391.62 and 2,106.66 is: 2,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.57 : 3,391.62 = 2,106.66 : x
  2. Step 2: Convert to fraction form
    2,459.57/3,391.62 = 2,106.66/x
  3. Step 3: Cross multiply
    2,459.57x = 3,391.62 × 2,106.66
  4. Step 4: Simplify right side
    2,459.57x = 7,144,990.19
  5. Step 5: Solve for x
    x = 7,144,990.19/2,459.57
  6. Step 6: Final answer
    x = 2,904.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.