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Finding the Fourth Proportional to 2,924.42, 4,387.80 and 1,756.64

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Solution

The fourth proportional to 2,924.42, 4,387.80 and 1,756.64 is: 2,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924.42 : 4,387.80 = 1,756.64 : x
  2. Step 2: Convert to fraction form
    2,924.42/4,387.80 = 1,756.64/x
  3. Step 3: Cross multiply
    2,924.42x = 4,387.80 × 1,756.64
  4. Step 4: Simplify right side
    2,924.42x = 7,707,784.99
  5. Step 5: Solve for x
    x = 7,707,784.99/2,924.42
  6. Step 6: Final answer
    x = 2,635.66

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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.