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Finding the Fourth Proportional to 1,486.41, 2,228.04 and 1,075.35

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Solution

The fourth proportional to 1,486.41, 2,228.04 and 1,075.35 is: 1,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.41 : 2,228.04 = 1,075.35 : x
  2. Step 2: Convert to fraction form
    1,486.41/2,228.04 = 1,075.35/x
  3. Step 3: Cross multiply
    1,486.41x = 2,228.04 × 1,075.35
  4. Step 4: Simplify right side
    1,486.41x = 2,395,922.81
  5. Step 5: Solve for x
    x = 2,395,922.81/1,486.41
  6. Step 6: Final answer
    x = 1,611.89

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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.