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Finding the Fourth Proportional to 1,709.89, 2,566.05 and 931.48

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Solution

The fourth proportional to 1,709.89, 2,566.05 and 931.48 is: 1,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.89 : 2,566.05 = 931.48 : x
  2. Step 2: Convert to fraction form
    1,709.89/2,566.05 = 931.48/x
  3. Step 3: Cross multiply
    1,709.89x = 2,566.05 × 931.48
  4. Step 4: Simplify right side
    1,709.89x = 2,390,224.25
  5. Step 5: Solve for x
    x = 2,390,224.25/1,709.89
  6. Step 6: Final answer
    x = 1,397.88

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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.