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Finding the Fourth Proportional to 2,504.41, 3,756.15 and 944.55

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Solution

The fourth proportional to 2,504.41, 3,756.15 and 944.55 is: 1,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.41 : 3,756.15 = 944.55 : x
  2. Step 2: Convert to fraction form
    2,504.41/3,756.15 = 944.55/x
  3. Step 3: Cross multiply
    2,504.41x = 3,756.15 × 944.55
  4. Step 4: Simplify right side
    2,504.41x = 3,547,871.48
  5. Step 5: Solve for x
    x = 3,547,871.48/2,504.41
  6. Step 6: Final answer
    x = 1,416.65

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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.