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Finding the Fourth Proportional to 1,308.36, 1,974.18 and 1,257.72

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Solution

The fourth proportional to 1,308.36, 1,974.18 and 1,257.72 is: 1,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.36 : 1,974.18 = 1,257.72 : x
  2. Step 2: Convert to fraction form
    1,308.36/1,974.18 = 1,257.72/x
  3. Step 3: Cross multiply
    1,308.36x = 1,974.18 × 1,257.72
  4. Step 4: Simplify right side
    1,308.36x = 2,482,965.67
  5. Step 5: Solve for x
    x = 2,482,965.67/1,308.36
  6. Step 6: Final answer
    x = 1,897.77

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.