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Finding the Fourth Proportional to 2,185.84, 3,017.40 and 1,522.45

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Solution

The fourth proportional to 2,185.84, 3,017.40 and 1,522.45 is: 2,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.84 : 3,017.40 = 1,522.45 : x
  2. Step 2: Convert to fraction form
    2,185.84/3,017.40 = 1,522.45/x
  3. Step 3: Cross multiply
    2,185.84x = 3,017.40 × 1,522.45
  4. Step 4: Simplify right side
    2,185.84x = 4,593,840.63
  5. Step 5: Solve for x
    x = 4,593,840.63/2,185.84
  6. Step 6: Final answer
    x = 2,101.64

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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.