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Finding the Fourth Proportional to 4,650.95, 6,977.51 and 1,364.11

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Solution

The fourth proportional to 4,650.95, 6,977.51 and 1,364.11 is: 2,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.95 : 6,977.51 = 1,364.11 : x
  2. Step 2: Convert to fraction form
    4,650.95/6,977.51 = 1,364.11/x
  3. Step 3: Cross multiply
    4,650.95x = 6,977.51 × 1,364.11
  4. Step 4: Simplify right side
    4,650.95x = 9,518,091.17
  5. Step 5: Solve for x
    x = 9,518,091.17/4,650.95
  6. Step 6: Final answer
    x = 2,046.48

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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.