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Finding the Fourth Proportional to 1,309.86, 1,951.74 and 1,297.35

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Solution

The fourth proportional to 1,309.86, 1,951.74 and 1,297.35 is: 1,933.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.86 : 1,951.74 = 1,297.35 : x
  2. Step 2: Convert to fraction form
    1,309.86/1,951.74 = 1,297.35/x
  3. Step 3: Cross multiply
    1,309.86x = 1,951.74 × 1,297.35
  4. Step 4: Simplify right side
    1,309.86x = 2,532,089.89
  5. Step 5: Solve for x
    x = 2,532,089.89/1,309.86
  6. Step 6: Final answer
    x = 1,933.10

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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.