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Finding the Fourth Proportional to 2,975.74, 4,097.16 and 2,526.66

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Solution

The fourth proportional to 2,975.74, 4,097.16 and 2,526.66 is: 3,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.74 : 4,097.16 = 2,526.66 : x
  2. Step 2: Convert to fraction form
    2,975.74/4,097.16 = 2,526.66/x
  3. Step 3: Cross multiply
    2,975.74x = 4,097.16 × 2,526.66
  4. Step 4: Simplify right side
    2,975.74x = 10,352,130.29
  5. Step 5: Solve for x
    x = 10,352,130.29/2,975.74
  6. Step 6: Final answer
    x = 3,478.85

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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.