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Finding the Fourth Proportional to 1,878.08, 2,816.76 and 1,515

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Solution

The fourth proportional to 1,878.08, 2,816.76 and 1,515 is: 2,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.08 : 2,816.76 = 1,515 : x
  2. Step 2: Convert to fraction form
    1,878.08/2,816.76 = 1,515/x
  3. Step 3: Cross multiply
    1,878.08x = 2,816.76 × 1,515
  4. Step 4: Simplify right side
    1,878.08x = 4,267,391.40
  5. Step 5: Solve for x
    x = 4,267,391.40/1,878.08
  6. Step 6: Final answer
    x = 2,272.21

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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.