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Finding the Fourth Proportional to 2,878.66, 4,313.67 and 2,058.67

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Solution

The fourth proportional to 2,878.66, 4,313.67 and 2,058.67 is: 3,084.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.66 : 4,313.67 = 2,058.67 : x
  2. Step 2: Convert to fraction form
    2,878.66/4,313.67 = 2,058.67/x
  3. Step 3: Cross multiply
    2,878.66x = 4,313.67 × 2,058.67
  4. Step 4: Simplify right side
    2,878.66x = 8,880,423.02
  5. Step 5: Solve for x
    x = 8,880,423.02/2,878.66
  6. Step 6: Final answer
    x = 3,084.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.