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Finding the Fourth Proportional to 2,300.76, 3,173.94 and 1,416.24

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Solution

The fourth proportional to 2,300.76, 3,173.94 and 1,416.24 is: 1,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.76 : 3,173.94 = 1,416.24 : x
  2. Step 2: Convert to fraction form
    2,300.76/3,173.94 = 1,416.24/x
  3. Step 3: Cross multiply
    2,300.76x = 3,173.94 × 1,416.24
  4. Step 4: Simplify right side
    2,300.76x = 4,495,060.79
  5. Step 5: Solve for x
    x = 4,495,060.79/2,300.76
  6. Step 6: Final answer
    x = 1,953.73

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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.