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Finding the Fourth Proportional to 1,709.78, 2,358.45 and 1,237.14

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Solution

The fourth proportional to 1,709.78, 2,358.45 and 1,237.14 is: 1,706.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.78 : 2,358.45 = 1,237.14 : x
  2. Step 2: Convert to fraction form
    1,709.78/2,358.45 = 1,237.14/x
  3. Step 3: Cross multiply
    1,709.78x = 2,358.45 × 1,237.14
  4. Step 4: Simplify right side
    1,709.78x = 2,917,732.83
  5. Step 5: Solve for x
    x = 2,917,732.83/1,709.78
  6. Step 6: Final answer
    x = 1,706.50

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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.