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Finding the Fourth Proportional to 2,430.02, 3,642.74 and 890.66

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Solution

The fourth proportional to 2,430.02, 3,642.74 and 890.66 is: 1,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.02 : 3,642.74 = 890.66 : x
  2. Step 2: Convert to fraction form
    2,430.02/3,642.74 = 890.66/x
  3. Step 3: Cross multiply
    2,430.02x = 3,642.74 × 890.66
  4. Step 4: Simplify right side
    2,430.02x = 3,244,420.14
  5. Step 5: Solve for x
    x = 3,244,420.14/2,430.02
  6. Step 6: Final answer
    x = 1,335.14

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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.