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Finding the Fourth Proportional to 1,298.42, 1,930.94 and 1,257.41

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Solution

The fourth proportional to 1,298.42, 1,930.94 and 1,257.41 is: 1,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.42 : 1,930.94 = 1,257.41 : x
  2. Step 2: Convert to fraction form
    1,298.42/1,930.94 = 1,257.41/x
  3. Step 3: Cross multiply
    1,298.42x = 1,930.94 × 1,257.41
  4. Step 4: Simplify right side
    1,298.42x = 2,427,967.32
  5. Step 5: Solve for x
    x = 2,427,967.32/1,298.42
  6. Step 6: Final answer
    x = 1,869.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.