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Finding the Fourth Proportional to 2,293.66, 3,441.53 and 977.77

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Solution

The fourth proportional to 2,293.66, 3,441.53 and 977.77 is: 1,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.66 : 3,441.53 = 977.77 : x
  2. Step 2: Convert to fraction form
    2,293.66/3,441.53 = 977.77/x
  3. Step 3: Cross multiply
    2,293.66x = 3,441.53 × 977.77
  4. Step 4: Simplify right side
    2,293.66x = 3,365,024.79
  5. Step 5: Solve for x
    x = 3,365,024.79/2,293.66
  6. Step 6: Final answer
    x = 1,467.10

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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.