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Finding the Fourth Proportional to 2,314.64, 3,471.96 and 776.72

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Solution

The fourth proportional to 2,314.64, 3,471.96 and 776.72 is: 1,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.64 : 3,471.96 = 776.72 : x
  2. Step 2: Convert to fraction form
    2,314.64/3,471.96 = 776.72/x
  3. Step 3: Cross multiply
    2,314.64x = 3,471.96 × 776.72
  4. Step 4: Simplify right side
    2,314.64x = 2,696,740.77
  5. Step 5: Solve for x
    x = 2,696,740.77/2,314.64
  6. Step 6: Final answer
    x = 1,165.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.