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Finding the Fourth Proportional to 2,445.86, 3,669.05 and 780.11

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Solution

The fourth proportional to 2,445.86, 3,669.05 and 780.11 is: 1,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.86 : 3,669.05 = 780.11 : x
  2. Step 2: Convert to fraction form
    2,445.86/3,669.05 = 780.11/x
  3. Step 3: Cross multiply
    2,445.86x = 3,669.05 × 780.11
  4. Step 4: Simplify right side
    2,445.86x = 2,862,269.82
  5. Step 5: Solve for x
    x = 2,862,269.82/2,445.86
  6. Step 6: Final answer
    x = 1,170.25

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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.