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Finding the Fourth Proportional to 2,051.46, 3,075.03 and 881.10

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Solution

The fourth proportional to 2,051.46, 3,075.03 and 881.10 is: 1,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.46 : 3,075.03 = 881.10 : x
  2. Step 2: Convert to fraction form
    2,051.46/3,075.03 = 881.10/x
  3. Step 3: Cross multiply
    2,051.46x = 3,075.03 × 881.10
  4. Step 4: Simplify right side
    2,051.46x = 2,709,408.93
  5. Step 5: Solve for x
    x = 2,709,408.93/2,051.46
  6. Step 6: Final answer
    x = 1,320.72

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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.