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Finding the Fourth Proportional to 2,730.77, 4,097.02 and 975.74

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Solution

The fourth proportional to 2,730.77, 4,097.02 and 975.74 is: 1,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.77 : 4,097.02 = 975.74 : x
  2. Step 2: Convert to fraction form
    2,730.77/4,097.02 = 975.74/x
  3. Step 3: Cross multiply
    2,730.77x = 4,097.02 × 975.74
  4. Step 4: Simplify right side
    2,730.77x = 3,997,616.54
  5. Step 5: Solve for x
    x = 3,997,616.54/2,730.77
  6. Step 6: Final answer
    x = 1,463.91

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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.