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Finding the Fourth Proportional to 1,760.19, 2,427.08 and 1,316.67

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Solution

The fourth proportional to 1,760.19, 2,427.08 and 1,316.67 is: 1,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.19 : 2,427.08 = 1,316.67 : x
  2. Step 2: Convert to fraction form
    1,760.19/2,427.08 = 1,316.67/x
  3. Step 3: Cross multiply
    1,760.19x = 2,427.08 × 1,316.67
  4. Step 4: Simplify right side
    1,760.19x = 3,195,656.84
  5. Step 5: Solve for x
    x = 3,195,656.84/1,760.19
  6. Step 6: Final answer
    x = 1,815.52

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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.