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Finding the Fourth Proportional to 1,316.40, 1,969.32 and 1,235.76

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Solution

The fourth proportional to 1,316.40, 1,969.32 and 1,235.76 is: 1,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.40 : 1,969.32 = 1,235.76 : x
  2. Step 2: Convert to fraction form
    1,316.40/1,969.32 = 1,235.76/x
  3. Step 3: Cross multiply
    1,316.40x = 1,969.32 × 1,235.76
  4. Step 4: Simplify right side
    1,316.40x = 2,433,606.88
  5. Step 5: Solve for x
    x = 2,433,606.88/1,316.40
  6. Step 6: Final answer
    x = 1,848.68

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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.