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Finding the Fourth Proportional to 2,374.69, 3,277.07 and 1,312.43

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Solution

The fourth proportional to 2,374.69, 3,277.07 and 1,312.43 is: 1,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.69 : 3,277.07 = 1,312.43 : x
  2. Step 2: Convert to fraction form
    2,374.69/3,277.07 = 1,312.43/x
  3. Step 3: Cross multiply
    2,374.69x = 3,277.07 × 1,312.43
  4. Step 4: Simplify right side
    2,374.69x = 4,300,902.03
  5. Step 5: Solve for x
    x = 4,300,902.03/2,374.69
  6. Step 6: Final answer
    x = 1,811.14

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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.