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Finding the Fourth Proportional to 2,826.88, 4,239.28 and 977.52

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Solution

The fourth proportional to 2,826.88, 4,239.28 and 977.52 is: 1,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.88 : 4,239.28 = 977.52 : x
  2. Step 2: Convert to fraction form
    2,826.88/4,239.28 = 977.52/x
  3. Step 3: Cross multiply
    2,826.88x = 4,239.28 × 977.52
  4. Step 4: Simplify right side
    2,826.88x = 4,143,980.99
  5. Step 5: Solve for x
    x = 4,143,980.99/2,826.88
  6. Step 6: Final answer
    x = 1,465.92

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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.