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Finding the Fourth Proportional to 2,430.36, 3,642.71 and 969.93

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Solution

The fourth proportional to 2,430.36, 3,642.71 and 969.93 is: 1,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.36 : 3,642.71 = 969.93 : x
  2. Step 2: Convert to fraction form
    2,430.36/3,642.71 = 969.93/x
  3. Step 3: Cross multiply
    2,430.36x = 3,642.71 × 969.93
  4. Step 4: Simplify right side
    2,430.36x = 3,533,168.86
  5. Step 5: Solve for x
    x = 3,533,168.86/2,430.36
  6. Step 6: Final answer
    x = 1,453.76

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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.