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Finding the Fourth Proportional to 2,430.05, 3,642.72 and 785.48

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Solution

The fourth proportional to 2,430.05, 3,642.72 and 785.48 is: 1,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.05 : 3,642.72 = 785.48 : x
  2. Step 2: Convert to fraction form
    2,430.05/3,642.72 = 785.48/x
  3. Step 3: Cross multiply
    2,430.05x = 3,642.72 × 785.48
  4. Step 4: Simplify right side
    2,430.05x = 2,861,265.49
  5. Step 5: Solve for x
    x = 2,861,265.49/2,430.05
  6. Step 6: Final answer
    x = 1,177.45

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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.