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Finding the Fourth Proportional to 2,740.65, 3,782.53 and 2,155.62

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Solution

The fourth proportional to 2,740.65, 3,782.53 and 2,155.62 is: 2,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.65 : 3,782.53 = 2,155.62 : x
  2. Step 2: Convert to fraction form
    2,740.65/3,782.53 = 2,155.62/x
  3. Step 3: Cross multiply
    2,740.65x = 3,782.53 × 2,155.62
  4. Step 4: Simplify right side
    2,740.65x = 8,153,697.32
  5. Step 5: Solve for x
    x = 8,153,697.32/2,740.65
  6. Step 6: Final answer
    x = 2,975.10

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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.