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Finding the Fourth Proportional to 1,673.85, 2,312.12 and 1,285.67

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Solution

The fourth proportional to 1,673.85, 2,312.12 and 1,285.67 is: 1,775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.85 : 2,312.12 = 1,285.67 : x
  2. Step 2: Convert to fraction form
    1,673.85/2,312.12 = 1,285.67/x
  3. Step 3: Cross multiply
    1,673.85x = 2,312.12 × 1,285.67
  4. Step 4: Simplify right side
    1,673.85x = 2,972,616.89
  5. Step 5: Solve for x
    x = 2,972,616.89/1,673.85
  6. Step 6: Final answer
    x = 1,775.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.