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Finding the Fourth Proportional to 2,059.68, 3,075.72 and 1,800.48

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Solution

The fourth proportional to 2,059.68, 3,075.72 and 1,800.48 is: 2,688.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.68 : 3,075.72 = 1,800.48 : x
  2. Step 2: Convert to fraction form
    2,059.68/3,075.72 = 1,800.48/x
  3. Step 3: Cross multiply
    2,059.68x = 3,075.72 × 1,800.48
  4. Step 4: Simplify right side
    2,059.68x = 5,537,772.35
  5. Step 5: Solve for x
    x = 5,537,772.35/2,059.68
  6. Step 6: Final answer
    x = 2,688.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.