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Finding the Fourth Proportional to 2,101.84, 3,150.93 and 1,515.40

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Solution

The fourth proportional to 2,101.84, 3,150.93 and 1,515.40 is: 2,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.84 : 3,150.93 = 1,515.40 : x
  2. Step 2: Convert to fraction form
    2,101.84/3,150.93 = 1,515.40/x
  3. Step 3: Cross multiply
    2,101.84x = 3,150.93 × 1,515.40
  4. Step 4: Simplify right side
    2,101.84x = 4,774,919.32
  5. Step 5: Solve for x
    x = 4,774,919.32/2,101.84
  6. Step 6: Final answer
    x = 2,271.78

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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.