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Finding the Fourth Proportional to 1,317.35, 1,971.36 and 969.86

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Solution

The fourth proportional to 1,317.35, 1,971.36 and 969.86 is: 1,451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.35 : 1,971.36 = 969.86 : x
  2. Step 2: Convert to fraction form
    1,317.35/1,971.36 = 969.86/x
  3. Step 3: Cross multiply
    1,317.35x = 1,971.36 × 969.86
  4. Step 4: Simplify right side
    1,317.35x = 1,911,933.35
  5. Step 5: Solve for x
    x = 1,911,933.35/1,317.35
  6. Step 6: Final answer
    x = 1,451.35

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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.