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Finding the Fourth Proportional to 2,826.90, 4,240.87 and 977.51

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Solution

The fourth proportional to 2,826.90, 4,240.87 and 977.51 is: 1,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.90 : 4,240.87 = 977.51 : x
  2. Step 2: Convert to fraction form
    2,826.90/4,240.87 = 977.51/x
  3. Step 3: Cross multiply
    2,826.90x = 4,240.87 × 977.51
  4. Step 4: Simplify right side
    2,826.90x = 4,145,515.90
  5. Step 5: Solve for x
    x = 4,145,515.90/2,826.90
  6. Step 6: Final answer
    x = 1,466.45

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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.