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Finding the Fourth Proportional to 1,314.10, 1,971.15 and 1,294.90

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Solution

The fourth proportional to 1,314.10, 1,971.15 and 1,294.90 is: 1,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.10 : 1,971.15 = 1,294.90 : x
  2. Step 2: Convert to fraction form
    1,314.10/1,971.15 = 1,294.90/x
  3. Step 3: Cross multiply
    1,314.10x = 1,971.15 × 1,294.90
  4. Step 4: Simplify right side
    1,314.10x = 2,552,442.14
  5. Step 5: Solve for x
    x = 2,552,442.14/1,314.10
  6. Step 6: Final answer
    x = 1,942.35

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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.