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Finding the Fourth Proportional to 2,944.67, 4,417 and 753.40

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Solution

The fourth proportional to 2,944.67, 4,417 and 753.40 is: 1,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,944.67 : 4,417 = 753.40 : x
  2. Step 2: Convert to fraction form
    2,944.67/4,417 = 753.40/x
  3. Step 3: Cross multiply
    2,944.67x = 4,417 × 753.40
  4. Step 4: Simplify right side
    2,944.67x = 3,327,767.80
  5. Step 5: Solve for x
    x = 3,327,767.80/2,944.67
  6. Step 6: Final answer
    x = 1,130.10

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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.