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Finding the Fourth Proportional to 2,103.71, 2,901.47 and 1,357.74

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Solution

The fourth proportional to 2,103.71, 2,901.47 and 1,357.74 is: 1,872.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.71 : 2,901.47 = 1,357.74 : x
  2. Step 2: Convert to fraction form
    2,103.71/2,901.47 = 1,357.74/x
  3. Step 3: Cross multiply
    2,103.71x = 2,901.47 × 1,357.74
  4. Step 4: Simplify right side
    2,103.71x = 3,939,435.09
  5. Step 5: Solve for x
    x = 3,939,435.09/2,103.71
  6. Step 6: Final answer
    x = 1,872.62

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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.