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Finding the Fourth Proportional to 1,346.50, 1,857.36 and 1,248.13

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Solution

The fourth proportional to 1,346.50, 1,857.36 and 1,248.13 is: 1,721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.50 : 1,857.36 = 1,248.13 : x
  2. Step 2: Convert to fraction form
    1,346.50/1,857.36 = 1,248.13/x
  3. Step 3: Cross multiply
    1,346.50x = 1,857.36 × 1,248.13
  4. Step 4: Simplify right side
    1,346.50x = 2,318,226.74
  5. Step 5: Solve for x
    x = 2,318,226.74/1,346.50
  6. Step 6: Final answer
    x = 1,721.67

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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.