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Finding the Fourth Proportional to 2,075.52, 3,114 and 1,384.96

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Solution

The fourth proportional to 2,075.52, 3,114 and 1,384.96 is: 2,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.52 : 3,114 = 1,384.96 : x
  2. Step 2: Convert to fraction form
    2,075.52/3,114 = 1,384.96/x
  3. Step 3: Cross multiply
    2,075.52x = 3,114 × 1,384.96
  4. Step 4: Simplify right side
    2,075.52x = 4,312,765.44
  5. Step 5: Solve for x
    x = 4,312,765.44/2,075.52
  6. Step 6: Final answer
    x = 2,077.92

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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.