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Finding the Fourth Proportional to 2,703.86, 4,054.16 and 1,315.80

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Solution

The fourth proportional to 2,703.86, 4,054.16 and 1,315.80 is: 1,972.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.86 : 4,054.16 = 1,315.80 : x
  2. Step 2: Convert to fraction form
    2,703.86/4,054.16 = 1,315.80/x
  3. Step 3: Cross multiply
    2,703.86x = 4,054.16 × 1,315.80
  4. Step 4: Simplify right side
    2,703.86x = 5,334,457.15
  5. Step 5: Solve for x
    x = 5,334,457.15/2,703.86
  6. Step 6: Final answer
    x = 1,972.90

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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.