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Finding the Fourth Proportional to 2,875.98, 4,307.49 and 2,014.14

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Solution

The fourth proportional to 2,875.98, 4,307.49 and 2,014.14 is: 3,016.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.98 : 4,307.49 = 2,014.14 : x
  2. Step 2: Convert to fraction form
    2,875.98/4,307.49 = 2,014.14/x
  3. Step 3: Cross multiply
    2,875.98x = 4,307.49 × 2,014.14
  4. Step 4: Simplify right side
    2,875.98x = 8,675,887.91
  5. Step 5: Solve for x
    x = 8,675,887.91/2,875.98
  6. Step 6: Final answer
    x = 3,016.67

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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.