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Finding the Fourth Proportional to 2,315.86, 3,473.07 and 776.50

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Solution

The fourth proportional to 2,315.86, 3,473.07 and 776.50 is: 1,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.86 : 3,473.07 = 776.50 : x
  2. Step 2: Convert to fraction form
    2,315.86/3,473.07 = 776.50/x
  3. Step 3: Cross multiply
    2,315.86x = 3,473.07 × 776.50
  4. Step 4: Simplify right side
    2,315.86x = 2,696,838.86
  5. Step 5: Solve for x
    x = 2,696,838.86/2,315.86
  6. Step 6: Final answer
    x = 1,164.51

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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.