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Finding the Fourth Proportional to 2,878.24, 4,307.28 and 2,146

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Solution

The fourth proportional to 2,878.24, 4,307.28 and 2,146 is: 3,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.24 : 4,307.28 = 2,146 : x
  2. Step 2: Convert to fraction form
    2,878.24/4,307.28 = 2,146/x
  3. Step 3: Cross multiply
    2,878.24x = 4,307.28 × 2,146
  4. Step 4: Simplify right side
    2,878.24x = 9,243,422.88
  5. Step 5: Solve for x
    x = 9,243,422.88/2,878.24
  6. Step 6: Final answer
    x = 3,211.48

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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.