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Finding the Fourth Proportional to 2,430.42, 3,645.23 and 788.15

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Solution

The fourth proportional to 2,430.42, 3,645.23 and 788.15 is: 1,182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.42 : 3,645.23 = 788.15 : x
  2. Step 2: Convert to fraction form
    2,430.42/3,645.23 = 788.15/x
  3. Step 3: Cross multiply
    2,430.42x = 3,645.23 × 788.15
  4. Step 4: Simplify right side
    2,430.42x = 2,872,965.86
  5. Step 5: Solve for x
    x = 2,872,965.86/2,430.42
  6. Step 6: Final answer
    x = 1,182.09

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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.