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Finding the Fourth Proportional to 1,778.10, 2,453.85 and 981.51

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Solution

The fourth proportional to 1,778.10, 2,453.85 and 981.51 is: 1,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.10 : 2,453.85 = 981.51 : x
  2. Step 2: Convert to fraction form
    1,778.10/2,453.85 = 981.51/x
  3. Step 3: Cross multiply
    1,778.10x = 2,453.85 × 981.51
  4. Step 4: Simplify right side
    1,778.10x = 2,408,478.31
  5. Step 5: Solve for x
    x = 2,408,478.31/1,778.10
  6. Step 6: Final answer
    x = 1,354.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.