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Finding the Fourth Proportional to 2,430.90, 3,642.30 and 2,341.08

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Solution

The fourth proportional to 2,430.90, 3,642.30 and 2,341.08 is: 3,507.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.90 : 3,642.30 = 2,341.08 : x
  2. Step 2: Convert to fraction form
    2,430.90/3,642.30 = 2,341.08/x
  3. Step 3: Cross multiply
    2,430.90x = 3,642.30 × 2,341.08
  4. Step 4: Simplify right side
    2,430.90x = 8,526,915.68
  5. Step 5: Solve for x
    x = 8,526,915.68/2,430.90
  6. Step 6: Final answer
    x = 3,507.72

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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.