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Finding the Fourth Proportional to 2,400.77, 3,312.50 and 1,352.84

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Solution

The fourth proportional to 2,400.77, 3,312.50 and 1,352.84 is: 1,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.77 : 3,312.50 = 1,352.84 : x
  2. Step 2: Convert to fraction form
    2,400.77/3,312.50 = 1,352.84/x
  3. Step 3: Cross multiply
    2,400.77x = 3,312.50 × 1,352.84
  4. Step 4: Simplify right side
    2,400.77x = 4,481,259.17
  5. Step 5: Solve for x
    x = 4,481,259.17/2,400.77
  6. Step 6: Final answer
    x = 1,866.59

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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.