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Finding the Fourth Proportional to 2,312.80, 3,191.72 and 1,416.68

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Solution

The fourth proportional to 2,312.80, 3,191.72 and 1,416.68 is: 1,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.80 : 3,191.72 = 1,416.68 : x
  2. Step 2: Convert to fraction form
    2,312.80/3,191.72 = 1,416.68/x
  3. Step 3: Cross multiply
    2,312.80x = 3,191.72 × 1,416.68
  4. Step 4: Simplify right side
    2,312.80x = 4,521,645.89
  5. Step 5: Solve for x
    x = 4,521,645.89/2,312.80
  6. Step 6: Final answer
    x = 1,955.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.